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Finding the Fourth Proportional to 7,152.56, 10,727.80 and 3,641.12

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Solution

The fourth proportional to 7,152.56, 10,727.80 and 3,641.12 is: 5,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.56 : 10,727.80 = 3,641.12 : x
  2. Step 2: Convert to fraction form
    7,152.56/10,727.80 = 3,641.12/x
  3. Step 3: Cross multiply
    7,152.56x = 10,727.80 × 3,641.12
  4. Step 4: Simplify right side
    7,152.56x = 39,061,207.14
  5. Step 5: Solve for x
    x = 39,061,207.14/7,152.56
  6. Step 6: Final answer
    x = 5,461.15

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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.