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Finding the Fourth Proportional to 11,357.57, 15,673.53 and 6,322.01

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Solution

The fourth proportional to 11,357.57, 15,673.53 and 6,322.01 is: 8,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.57 : 15,673.53 = 6,322.01 : x
  2. Step 2: Convert to fraction form
    11,357.57/15,673.53 = 6,322.01/x
  3. Step 3: Cross multiply
    11,357.57x = 15,673.53 × 6,322.01
  4. Step 4: Simplify right side
    11,357.57x = 99,088,135.03
  5. Step 5: Solve for x
    x = 99,088,135.03/11,357.57
  6. Step 6: Final answer
    x = 8,724.42

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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.