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Finding the Fourth Proportional to 10,562.20, 14,574.20 and 6,086.16

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Solution

The fourth proportional to 10,562.20, 14,574.20 and 6,086.16 is: 8,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.20 : 14,574.20 = 6,086.16 : x
  2. Step 2: Convert to fraction form
    10,562.20/14,574.20 = 6,086.16/x
  3. Step 3: Cross multiply
    10,562.20x = 14,574.20 × 6,086.16
  4. Step 4: Simplify right side
    10,562.20x = 88,700,913.07
  5. Step 5: Solve for x
    x = 88,700,913.07/10,562.20
  6. Step 6: Final answer
    x = 8,397.96

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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.