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Finding the Fourth Proportional to 10,712.92, 16,041.42 and 8,621.50

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Solution

The fourth proportional to 10,712.92, 16,041.42 and 8,621.50 is: 12,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.92 : 16,041.42 = 8,621.50 : x
  2. Step 2: Convert to fraction form
    10,712.92/16,041.42 = 8,621.50/x
  3. Step 3: Cross multiply
    10,712.92x = 16,041.42 × 8,621.50
  4. Step 4: Simplify right side
    10,712.92x = 138,301,102.53
  5. Step 5: Solve for x
    x = 138,301,102.53/10,712.92
  6. Step 6: Final answer
    x = 12,909.75

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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.