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Finding the Fourth Proportional to 10,646.56, 16,005.68 and 8,712.80

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Solution

The fourth proportional to 10,646.56, 16,005.68 and 8,712.80 is: 13,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.56 : 16,005.68 = 8,712.80 : x
  2. Step 2: Convert to fraction form
    10,646.56/16,005.68 = 8,712.80/x
  3. Step 3: Cross multiply
    10,646.56x = 16,005.68 × 8,712.80
  4. Step 4: Simplify right side
    10,646.56x = 139,454,288.70
  5. Step 5: Solve for x
    x = 139,454,288.70/10,646.56
  6. Step 6: Final answer
    x = 13,098.53

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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.