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Finding the Fourth Proportional to 10,381.46, 15,570.50 and 2,984.24

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Solution

The fourth proportional to 10,381.46, 15,570.50 and 2,984.24 is: 4,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.46 : 15,570.50 = 2,984.24 : x
  2. Step 2: Convert to fraction form
    10,381.46/15,570.50 = 2,984.24/x
  3. Step 3: Cross multiply
    10,381.46x = 15,570.50 × 2,984.24
  4. Step 4: Simplify right side
    10,381.46x = 46,466,016.15
  5. Step 5: Solve for x
    x = 46,466,016.15/10,381.46
  6. Step 6: Final answer
    x = 4,475.87

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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.