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Finding the Fourth Proportional to 7,085.67, 9,781.71 and 5,488.74

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Solution

The fourth proportional to 7,085.67, 9,781.71 and 5,488.74 is: 7,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.67 : 9,781.71 = 5,488.74 : x
  2. Step 2: Convert to fraction form
    7,085.67/9,781.71 = 5,488.74/x
  3. Step 3: Cross multiply
    7,085.67x = 9,781.71 × 5,488.74
  4. Step 4: Simplify right side
    7,085.67x = 53,689,262.95
  5. Step 5: Solve for x
    x = 53,689,262.95/7,085.67
  6. Step 6: Final answer
    x = 7,577.16

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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.