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Finding the Fourth Proportional to 8,911.64, 13,342.80 and 6,713.84

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Solution

The fourth proportional to 8,911.64, 13,342.80 and 6,713.84 is: 10,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.64 : 13,342.80 = 6,713.84 : x
  2. Step 2: Convert to fraction form
    8,911.64/13,342.80 = 6,713.84/x
  3. Step 3: Cross multiply
    8,911.64x = 13,342.80 × 6,713.84
  4. Step 4: Simplify right side
    8,911.64x = 89,581,424.35
  5. Step 5: Solve for x
    x = 89,581,424.35/8,911.64
  6. Step 6: Final answer
    x = 10,052.18

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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.