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Finding the Fourth Proportional to 10,284.02, 15,426.02 and 5,892.11

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Solution

The fourth proportional to 10,284.02, 15,426.02 and 5,892.11 is: 8,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.02 : 15,426.02 = 5,892.11 : x
  2. Step 2: Convert to fraction form
    10,284.02/15,426.02 = 5,892.11/x
  3. Step 3: Cross multiply
    10,284.02x = 15,426.02 × 5,892.11
  4. Step 4: Simplify right side
    10,284.02x = 90,891,806.70
  5. Step 5: Solve for x
    x = 90,891,806.70/10,284.02
  6. Step 6: Final answer
    x = 8,838.16

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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.