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Finding the Fourth Proportional to 11,807.66, 16,302.41 and 7,338.08

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Solution

The fourth proportional to 11,807.66, 16,302.41 and 7,338.08 is: 10,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.66 : 16,302.41 = 7,338.08 : x
  2. Step 2: Convert to fraction form
    11,807.66/16,302.41 = 7,338.08/x
  3. Step 3: Cross multiply
    11,807.66x = 16,302.41 × 7,338.08
  4. Step 4: Simplify right side
    11,807.66x = 119,628,270.57
  5. Step 5: Solve for x
    x = 119,628,270.57/11,807.66
  6. Step 6: Final answer
    x = 10,131.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.