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Finding the Fourth Proportional to 10,567.71, 15,853.68 and 4,724.28

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Solution

The fourth proportional to 10,567.71, 15,853.68 and 4,724.28 is: 7,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.71 : 15,853.68 = 4,724.28 : x
  2. Step 2: Convert to fraction form
    10,567.71/15,853.68 = 4,724.28/x
  3. Step 3: Cross multiply
    10,567.71x = 15,853.68 × 4,724.28
  4. Step 4: Simplify right side
    10,567.71x = 74,897,223.35
  5. Step 5: Solve for x
    x = 74,897,223.35/10,567.71
  6. Step 6: Final answer
    x = 7,087.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.