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Finding the Fourth Proportional to 8,406.68, 12,548.88 and 7,713.32

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Solution

The fourth proportional to 8,406.68, 12,548.88 and 7,713.32 is: 11,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.68 : 12,548.88 = 7,713.32 : x
  2. Step 2: Convert to fraction form
    8,406.68/12,548.88 = 7,713.32/x
  3. Step 3: Cross multiply
    8,406.68x = 12,548.88 × 7,713.32
  4. Step 4: Simplify right side
    8,406.68x = 96,793,527.08
  5. Step 5: Solve for x
    x = 96,793,527.08/8,406.68
  6. Step 6: Final answer
    x = 11,513.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.