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Finding the Fourth Proportional to 8,527.60, 12,774.37 and 6,775.57

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Solution

The fourth proportional to 8,527.60, 12,774.37 and 6,775.57 is: 10,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.60 : 12,774.37 = 6,775.57 : x
  2. Step 2: Convert to fraction form
    8,527.60/12,774.37 = 6,775.57/x
  3. Step 3: Cross multiply
    8,527.60x = 12,774.37 × 6,775.57
  4. Step 4: Simplify right side
    8,527.60x = 86,553,638.14
  5. Step 5: Solve for x
    x = 86,553,638.14/8,527.60
  6. Step 6: Final answer
    x = 10,149.82

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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.