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Finding the Fourth Proportional to 10,101.93, 15,155.19 and 3,082.57

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Solution

The fourth proportional to 10,101.93, 15,155.19 and 3,082.57 is: 4,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.93 : 15,155.19 = 3,082.57 : x
  2. Step 2: Convert to fraction form
    10,101.93/15,155.19 = 3,082.57/x
  3. Step 3: Cross multiply
    10,101.93x = 15,155.19 × 3,082.57
  4. Step 4: Simplify right side
    10,101.93x = 46,716,952.98
  5. Step 5: Solve for x
    x = 46,716,952.98/10,101.93
  6. Step 6: Final answer
    x = 4,624.56

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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.