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Finding the Fourth Proportional to 8,569.35, 12,851.51 and 3,886.65

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Solution

The fourth proportional to 8,569.35, 12,851.51 and 3,886.65 is: 5,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.35 : 12,851.51 = 3,886.65 : x
  2. Step 2: Convert to fraction form
    8,569.35/12,851.51 = 3,886.65/x
  3. Step 3: Cross multiply
    8,569.35x = 12,851.51 × 3,886.65
  4. Step 4: Simplify right side
    8,569.35x = 49,949,301.91
  5. Step 5: Solve for x
    x = 49,949,301.91/8,569.35
  6. Step 6: Final answer
    x = 5,828.83

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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.