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Finding the Fourth Proportional to 8,588.87, 12,864.90 and 6,485.70

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Solution

The fourth proportional to 8,588.87, 12,864.90 and 6,485.70 is: 9,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.87 : 12,864.90 = 6,485.70 : x
  2. Step 2: Convert to fraction form
    8,588.87/12,864.90 = 6,485.70/x
  3. Step 3: Cross multiply
    8,588.87x = 12,864.90 × 6,485.70
  4. Step 4: Simplify right side
    8,588.87x = 83,437,881.93
  5. Step 5: Solve for x
    x = 83,437,881.93/8,588.87
  6. Step 6: Final answer
    x = 9,714.66

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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.