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Finding the Fourth Proportional to 7,205.61, 9,943.40 and 4,061.79

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Solution

The fourth proportional to 7,205.61, 9,943.40 and 4,061.79 is: 5,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.61 : 9,943.40 = 4,061.79 : x
  2. Step 2: Convert to fraction form
    7,205.61/9,943.40 = 4,061.79/x
  3. Step 3: Cross multiply
    7,205.61x = 9,943.40 × 4,061.79
  4. Step 4: Simplify right side
    7,205.61x = 40,387,982.38
  5. Step 5: Solve for x
    x = 40,387,982.38/7,205.61
  6. Step 6: Final answer
    x = 5,605.07

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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.