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Finding the Fourth Proportional to 10,862.60, 16,256.98 and 6,705.24

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Solution

The fourth proportional to 10,862.60, 16,256.98 and 6,705.24 is: 10,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.60 : 16,256.98 = 6,705.24 : x
  2. Step 2: Convert to fraction form
    10,862.60/16,256.98 = 6,705.24/x
  3. Step 3: Cross multiply
    10,862.60x = 16,256.98 × 6,705.24
  4. Step 4: Simplify right side
    10,862.60x = 109,006,952.58
  5. Step 5: Solve for x
    x = 109,006,952.58/10,862.60
  6. Step 6: Final answer
    x = 10,035.07

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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.