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Finding the Fourth Proportional to 7,116.69, 9,821.06 and 4,132.65

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Solution

The fourth proportional to 7,116.69, 9,821.06 and 4,132.65 is: 5,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.69 : 9,821.06 = 4,132.65 : x
  2. Step 2: Convert to fraction form
    7,116.69/9,821.06 = 4,132.65/x
  3. Step 3: Cross multiply
    7,116.69x = 9,821.06 × 4,132.65
  4. Step 4: Simplify right side
    7,116.69x = 40,587,003.61
  5. Step 5: Solve for x
    x = 40,587,003.61/7,116.69
  6. Step 6: Final answer
    x = 5,703.07

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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.