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Finding the Fourth Proportional to 10,016.55, 13,807.49 and 7,494.84

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Solution

The fourth proportional to 10,016.55, 13,807.49 and 7,494.84 is: 10,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.55 : 13,807.49 = 7,494.84 : x
  2. Step 2: Convert to fraction form
    10,016.55/13,807.49 = 7,494.84/x
  3. Step 3: Cross multiply
    10,016.55x = 13,807.49 × 7,494.84
  4. Step 4: Simplify right side
    10,016.55x = 103,484,859.31
  5. Step 5: Solve for x
    x = 103,484,859.31/10,016.55
  6. Step 6: Final answer
    x = 10,331.39

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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.