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Finding the Fourth Proportional to 10,515.40, 15,773.16 and 3,119.92

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Solution

The fourth proportional to 10,515.40, 15,773.16 and 3,119.92 is: 4,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.40 : 15,773.16 = 3,119.92 : x
  2. Step 2: Convert to fraction form
    10,515.40/15,773.16 = 3,119.92/x
  3. Step 3: Cross multiply
    10,515.40x = 15,773.16 × 3,119.92
  4. Step 4: Simplify right side
    10,515.40x = 49,210,997.35
  5. Step 5: Solve for x
    x = 49,210,997.35/10,515.40
  6. Step 6: Final answer
    x = 4,679.90

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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.