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Finding the Fourth Proportional to 8,882.75, 12,258.59 and 5,107.14

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Solution

The fourth proportional to 8,882.75, 12,258.59 and 5,107.14 is: 7,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.75 : 12,258.59 = 5,107.14 : x
  2. Step 2: Convert to fraction form
    8,882.75/12,258.59 = 5,107.14/x
  3. Step 3: Cross multiply
    8,882.75x = 12,258.59 × 5,107.14
  4. Step 4: Simplify right side
    8,882.75x = 62,606,248.50
  5. Step 5: Solve for x
    x = 62,606,248.50/8,882.75
  6. Step 6: Final answer
    x = 7,048.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.