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Finding the Fourth Proportional to 7,042.16, 9,718.62 and 4,058.39

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Solution

The fourth proportional to 7,042.16, 9,718.62 and 4,058.39 is: 5,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.16 : 9,718.62 = 4,058.39 : x
  2. Step 2: Convert to fraction form
    7,042.16/9,718.62 = 4,058.39/x
  3. Step 3: Cross multiply
    7,042.16x = 9,718.62 × 4,058.39
  4. Step 4: Simplify right side
    7,042.16x = 39,441,950.22
  5. Step 5: Solve for x
    x = 39,441,950.22/7,042.16
  6. Step 6: Final answer
    x = 5,600.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.