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Finding the Fourth Proportional to 10,065.42, 15,101.01 and 3,139.98

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Solution

The fourth proportional to 10,065.42, 15,101.01 and 3,139.98 is: 4,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.42 : 15,101.01 = 3,139.98 : x
  2. Step 2: Convert to fraction form
    10,065.42/15,101.01 = 3,139.98/x
  3. Step 3: Cross multiply
    10,065.42x = 15,101.01 × 3,139.98
  4. Step 4: Simplify right side
    10,065.42x = 47,416,869.38
  5. Step 5: Solve for x
    x = 47,416,869.38/10,065.42
  6. Step 6: Final answer
    x = 4,710.87

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