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Finding the Fourth Proportional to 10,412.60, 15,617.88 and 5,731.07

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Solution

The fourth proportional to 10,412.60, 15,617.88 and 5,731.07 is: 8,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.60 : 15,617.88 = 5,731.07 : x
  2. Step 2: Convert to fraction form
    10,412.60/15,617.88 = 5,731.07/x
  3. Step 3: Cross multiply
    10,412.60x = 15,617.88 × 5,731.07
  4. Step 4: Simplify right side
    10,412.60x = 89,507,085.44
  5. Step 5: Solve for x
    x = 89,507,085.44/10,412.60
  6. Step 6: Final answer
    x = 8,596.04

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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.