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Finding the Fourth Proportional to 10,966.20, 15,128.02 and 10,541.80

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Solution

The fourth proportional to 10,966.20, 15,128.02 and 10,541.80 is: 14,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.20 : 15,128.02 = 10,541.80 : x
  2. Step 2: Convert to fraction form
    10,966.20/15,128.02 = 10,541.80/x
  3. Step 3: Cross multiply
    10,966.20x = 15,128.02 × 10,541.80
  4. Step 4: Simplify right side
    10,966.20x = 159,476,561.24
  5. Step 5: Solve for x
    x = 159,476,561.24/10,966.20
  6. Step 6: Final answer
    x = 14,542.55

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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.