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Finding the Fourth Proportional to 10,621.52, 14,657.76 and 5,906.24

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Solution

The fourth proportional to 10,621.52, 14,657.76 and 5,906.24 is: 8,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.52 : 14,657.76 = 5,906.24 : x
  2. Step 2: Convert to fraction form
    10,621.52/14,657.76 = 5,906.24/x
  3. Step 3: Cross multiply
    10,621.52x = 14,657.76 × 5,906.24
  4. Step 4: Simplify right side
    10,621.52x = 86,572,248.42
  5. Step 5: Solve for x
    x = 86,572,248.42/10,621.52
  6. Step 6: Final answer
    x = 8,150.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.