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Finding the Fourth Proportional to 7,285.68, 10,055.88 and 4,142.16

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Solution

The fourth proportional to 7,285.68, 10,055.88 and 4,142.16 is: 5,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.68 : 10,055.88 = 4,142.16 : x
  2. Step 2: Convert to fraction form
    7,285.68/10,055.88 = 4,142.16/x
  3. Step 3: Cross multiply
    7,285.68x = 10,055.88 × 4,142.16
  4. Step 4: Simplify right side
    7,285.68x = 41,653,063.90
  5. Step 5: Solve for x
    x = 41,653,063.90/7,285.68
  6. Step 6: Final answer
    x = 5,717.11

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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.