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Finding the Fourth Proportional to 7,280.71, 10,047.12 and 4,447.06

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Solution

The fourth proportional to 7,280.71, 10,047.12 and 4,447.06 is: 6,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.71 : 10,047.12 = 4,447.06 : x
  2. Step 2: Convert to fraction form
    7,280.71/10,047.12 = 4,447.06/x
  3. Step 3: Cross multiply
    7,280.71x = 10,047.12 × 4,447.06
  4. Step 4: Simplify right side
    7,280.71x = 44,680,145.47
  5. Step 5: Solve for x
    x = 44,680,145.47/7,280.71
  6. Step 6: Final answer
    x = 6,136.78

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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.