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Finding the Fourth Proportional to 8,569.71, 12,840.49 and 5,275.84

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Solution

The fourth proportional to 8,569.71, 12,840.49 and 5,275.84 is: 7,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.71 : 12,840.49 = 5,275.84 : x
  2. Step 2: Convert to fraction form
    8,569.71/12,840.49 = 5,275.84/x
  3. Step 3: Cross multiply
    8,569.71x = 12,840.49 × 5,275.84
  4. Step 4: Simplify right side
    8,569.71x = 67,744,370.76
  5. Step 5: Solve for x
    x = 67,744,370.76/8,569.71
  6. Step 6: Final answer
    x = 7,905.09

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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.