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Finding the Fourth Proportional to 10,982.66, 15,145.68 and 7,209.10

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Solution

The fourth proportional to 10,982.66, 15,145.68 and 7,209.10 is: 9,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.66 : 15,145.68 = 7,209.10 : x
  2. Step 2: Convert to fraction form
    10,982.66/15,145.68 = 7,209.10/x
  3. Step 3: Cross multiply
    10,982.66x = 15,145.68 × 7,209.10
  4. Step 4: Simplify right side
    10,982.66x = 109,186,721.69
  5. Step 5: Solve for x
    x = 109,186,721.69/10,982.66
  6. Step 6: Final answer
    x = 9,941.74

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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.