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Finding the Fourth Proportional to 7,661.39, 10,589.33 and 7,070.90

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Solution

The fourth proportional to 7,661.39, 10,589.33 and 7,070.90 is: 9,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.39 : 10,589.33 = 7,070.90 : x
  2. Step 2: Convert to fraction form
    7,661.39/10,589.33 = 7,070.90/x
  3. Step 3: Cross multiply
    7,661.39x = 10,589.33 × 7,070.90
  4. Step 4: Simplify right side
    7,661.39x = 74,876,058.23
  5. Step 5: Solve for x
    x = 74,876,058.23/7,661.39
  6. Step 6: Final answer
    x = 9,773.18

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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.