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Finding the Fourth Proportional to 7,042.56, 9,718.71 and 4,057.29

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Solution

The fourth proportional to 7,042.56, 9,718.71 and 4,057.29 is: 5,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.56 : 9,718.71 = 4,057.29 : x
  2. Step 2: Convert to fraction form
    7,042.56/9,718.71 = 4,057.29/x
  3. Step 3: Cross multiply
    7,042.56x = 9,718.71 × 4,057.29
  4. Step 4: Simplify right side
    7,042.56x = 39,431,624.90
  5. Step 5: Solve for x
    x = 39,431,624.90/7,042.56
  6. Step 6: Final answer
    x = 5,599.05

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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.