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Finding the Fourth Proportional to 8,484.36, 12,712.92 and 5,700.78

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Solution

The fourth proportional to 8,484.36, 12,712.92 and 5,700.78 is: 8,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.36 : 12,712.92 = 5,700.78 : x
  2. Step 2: Convert to fraction form
    8,484.36/12,712.92 = 5,700.78/x
  3. Step 3: Cross multiply
    8,484.36x = 12,712.92 × 5,700.78
  4. Step 4: Simplify right side
    8,484.36x = 72,473,560.08
  5. Step 5: Solve for x
    x = 72,473,560.08/8,484.36
  6. Step 6: Final answer
    x = 8,542.02

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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.