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Finding the Fourth Proportional to 10,062.70, 15,096.45 and 5,133.10

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Solution

The fourth proportional to 10,062.70, 15,096.45 and 5,133.10 is: 7,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.70 : 15,096.45 = 5,133.10 : x
  2. Step 2: Convert to fraction form
    10,062.70/15,096.45 = 5,133.10/x
  3. Step 3: Cross multiply
    10,062.70x = 15,096.45 × 5,133.10
  4. Step 4: Simplify right side
    10,062.70x = 77,491,587.50
  5. Step 5: Solve for x
    x = 77,491,587.50/10,062.70
  6. Step 6: Final answer
    x = 7,700.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.