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Finding the Fourth Proportional to 10,428.84, 15,640.79 and 3,031.29

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Solution

The fourth proportional to 10,428.84, 15,640.79 and 3,031.29 is: 4,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.84 : 15,640.79 = 3,031.29 : x
  2. Step 2: Convert to fraction form
    10,428.84/15,640.79 = 3,031.29/x
  3. Step 3: Cross multiply
    10,428.84x = 15,640.79 × 3,031.29
  4. Step 4: Simplify right side
    10,428.84x = 47,411,755.16
  5. Step 5: Solve for x
    x = 47,411,755.16/10,428.84
  6. Step 6: Final answer
    x = 4,546.22

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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.