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Finding the Fourth Proportional to 8,585.40, 12,863.70 and 7,116.60

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Solution

The fourth proportional to 8,585.40, 12,863.70 and 7,116.60 is: 10,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.40 : 12,863.70 = 7,116.60 : x
  2. Step 2: Convert to fraction form
    8,585.40/12,863.70 = 7,116.60/x
  3. Step 3: Cross multiply
    8,585.40x = 12,863.70 × 7,116.60
  4. Step 4: Simplify right side
    8,585.40x = 91,545,807.42
  5. Step 5: Solve for x
    x = 91,545,807.42/8,585.40
  6. Step 6: Final answer
    x = 10,662.96

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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.