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Finding the Fourth Proportional to 11,708.64, 17,562.48 and 6,454.05

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Solution

The fourth proportional to 11,708.64, 17,562.48 and 6,454.05 is: 9,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.64 : 17,562.48 = 6,454.05 : x
  2. Step 2: Convert to fraction form
    11,708.64/17,562.48 = 6,454.05/x
  3. Step 3: Cross multiply
    11,708.64x = 17,562.48 × 6,454.05
  4. Step 4: Simplify right side
    11,708.64x = 113,349,124.04
  5. Step 5: Solve for x
    x = 113,349,124.04/11,708.64
  6. Step 6: Final answer
    x = 9,680.81

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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.