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Finding the Fourth Proportional to 7,707.97, 11,543.33 and 4,411.07

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Solution

The fourth proportional to 7,707.97, 11,543.33 and 4,411.07 is: 6,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.97 : 11,543.33 = 4,411.07 : x
  2. Step 2: Convert to fraction form
    7,707.97/11,543.33 = 4,411.07/x
  3. Step 3: Cross multiply
    7,707.97x = 11,543.33 × 4,411.07
  4. Step 4: Simplify right side
    7,707.97x = 50,918,414.61
  5. Step 5: Solve for x
    x = 50,918,414.61/7,707.97
  6. Step 6: Final answer
    x = 6,605.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.