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Finding the Fourth Proportional to 7,042.96, 9,718.26 and 4,058.56

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Solution

The fourth proportional to 7,042.96, 9,718.26 and 4,058.56 is: 5,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.96 : 9,718.26 = 4,058.56 : x
  2. Step 2: Convert to fraction form
    7,042.96/9,718.26 = 4,058.56/x
  3. Step 3: Cross multiply
    7,042.96x = 9,718.26 × 4,058.56
  4. Step 4: Simplify right side
    7,042.96x = 39,442,141.31
  5. Step 5: Solve for x
    x = 39,442,141.31/7,042.96
  6. Step 6: Final answer
    x = 5,600.22

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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.