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Finding the Fourth Proportional to 10,882.32, 15,012.07 and 7,107.70

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Solution

The fourth proportional to 10,882.32, 15,012.07 and 7,107.70 is: 9,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.32 : 15,012.07 = 7,107.70 : x
  2. Step 2: Convert to fraction form
    10,882.32/15,012.07 = 7,107.70/x
  3. Step 3: Cross multiply
    10,882.32x = 15,012.07 × 7,107.70
  4. Step 4: Simplify right side
    10,882.32x = 106,701,292.77
  5. Step 5: Solve for x
    x = 106,701,292.77/10,882.32
  6. Step 6: Final answer
    x = 9,805.01

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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.