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Finding the Fourth Proportional to 11,562.68, 17,344.80 and 4,065.35

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Solution

The fourth proportional to 11,562.68, 17,344.80 and 4,065.35 is: 6,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.68 : 17,344.80 = 4,065.35 : x
  2. Step 2: Convert to fraction form
    11,562.68/17,344.80 = 4,065.35/x
  3. Step 3: Cross multiply
    11,562.68x = 17,344.80 × 4,065.35
  4. Step 4: Simplify right side
    11,562.68x = 70,512,595.96
  5. Step 5: Solve for x
    x = 70,512,595.96/11,562.68
  6. Step 6: Final answer
    x = 6,098.29

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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.