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Finding the Fourth Proportional to 10,963.46, 15,130.96 and 7,189.80

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Solution

The fourth proportional to 10,963.46, 15,130.96 and 7,189.80 is: 9,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.46 : 15,130.96 = 7,189.80 : x
  2. Step 2: Convert to fraction form
    10,963.46/15,130.96 = 7,189.80/x
  3. Step 3: Cross multiply
    10,963.46x = 15,130.96 × 7,189.80
  4. Step 4: Simplify right side
    10,963.46x = 108,788,576.21
  5. Step 5: Solve for x
    x = 108,788,576.21/10,963.46
  6. Step 6: Final answer
    x = 9,922.83

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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.