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Finding the Fourth Proportional to 10,474.68, 15,705.54 and 6,089.88

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Solution

The fourth proportional to 10,474.68, 15,705.54 and 6,089.88 is: 9,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.68 : 15,705.54 = 6,089.88 : x
  2. Step 2: Convert to fraction form
    10,474.68/15,705.54 = 6,089.88/x
  3. Step 3: Cross multiply
    10,474.68x = 15,705.54 × 6,089.88
  4. Step 4: Simplify right side
    10,474.68x = 95,644,853.94
  5. Step 5: Solve for x
    x = 95,644,853.94/10,474.68
  6. Step 6: Final answer
    x = 9,131.05

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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.