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Finding the Fourth Proportional to 10,284.89, 15,424.14 and 3,710.22

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Solution

The fourth proportional to 10,284.89, 15,424.14 and 3,710.22 is: 5,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.89 : 15,424.14 = 3,710.22 : x
  2. Step 2: Convert to fraction form
    10,284.89/15,424.14 = 3,710.22/x
  3. Step 3: Cross multiply
    10,284.89x = 15,424.14 × 3,710.22
  4. Step 4: Simplify right side
    10,284.89x = 57,226,952.71
  5. Step 5: Solve for x
    x = 57,226,952.71/10,284.89
  6. Step 6: Final answer
    x = 5,564.18

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