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Finding the Fourth Proportional to 8,463.60, 12,695.40 and 5,698.80

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Solution

The fourth proportional to 8,463.60, 12,695.40 and 5,698.80 is: 8,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.60 : 12,695.40 = 5,698.80 : x
  2. Step 2: Convert to fraction form
    8,463.60/12,695.40 = 5,698.80/x
  3. Step 3: Cross multiply
    8,463.60x = 12,695.40 × 5,698.80
  4. Step 4: Simplify right side
    8,463.60x = 72,348,545.52
  5. Step 5: Solve for x
    x = 72,348,545.52/8,463.60
  6. Step 6: Final answer
    x = 8,548.20

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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.