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Finding the Fourth Proportional to 8,526.87, 12,801.24 and 5,765.78

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Solution

The fourth proportional to 8,526.87, 12,801.24 and 5,765.78 is: 8,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.87 : 12,801.24 = 5,765.78 : x
  2. Step 2: Convert to fraction form
    8,526.87/12,801.24 = 5,765.78/x
  3. Step 3: Cross multiply
    8,526.87x = 12,801.24 × 5,765.78
  4. Step 4: Simplify right side
    8,526.87x = 73,809,165.57
  5. Step 5: Solve for x
    x = 73,809,165.57/8,526.87
  6. Step 6: Final answer
    x = 8,656.07

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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.