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Finding the Fourth Proportional to 8,562.36, 12,870.27 and 5,659.32

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Solution

The fourth proportional to 8,562.36, 12,870.27 and 5,659.32 is: 8,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.36 : 12,870.27 = 5,659.32 : x
  2. Step 2: Convert to fraction form
    8,562.36/12,870.27 = 5,659.32/x
  3. Step 3: Cross multiply
    8,562.36x = 12,870.27 × 5,659.32
  4. Step 4: Simplify right side
    8,562.36x = 72,836,976.42
  5. Step 5: Solve for x
    x = 72,836,976.42/8,562.36
  6. Step 6: Final answer
    x = 8,506.65

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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.