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Finding the Fourth Proportional to 7,281.56, 10,047.84 and 4,137.14

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Solution

The fourth proportional to 7,281.56, 10,047.84 and 4,137.14 is: 5,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.56 : 10,047.84 = 4,137.14 : x
  2. Step 2: Convert to fraction form
    7,281.56/10,047.84 = 4,137.14/x
  3. Step 3: Cross multiply
    7,281.56x = 10,047.84 × 4,137.14
  4. Step 4: Simplify right side
    7,281.56x = 41,569,320.78
  5. Step 5: Solve for x
    x = 41,569,320.78/7,281.56
  6. Step 6: Final answer
    x = 5,708.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.