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Finding the Fourth Proportional to 10,862.40, 16,257.60 and 7,892.40

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Solution

The fourth proportional to 10,862.40, 16,257.60 and 7,892.40 is: 11,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.40 : 16,257.60 = 7,892.40 : x
  2. Step 2: Convert to fraction form
    10,862.40/16,257.60 = 7,892.40/x
  3. Step 3: Cross multiply
    10,862.40x = 16,257.60 × 7,892.40
  4. Step 4: Simplify right side
    10,862.40x = 128,311,482.24
  5. Step 5: Solve for x
    x = 128,311,482.24/10,862.40
  6. Step 6: Final answer
    x = 11,812.44

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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.