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Finding the Fourth Proportional to 7,726.93, 10,665.68 and 4,540.17

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Solution

The fourth proportional to 7,726.93, 10,665.68 and 4,540.17 is: 6,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.93 : 10,665.68 = 4,540.17 : x
  2. Step 2: Convert to fraction form
    7,726.93/10,665.68 = 4,540.17/x
  3. Step 3: Cross multiply
    7,726.93x = 10,665.68 × 4,540.17
  4. Step 4: Simplify right side
    7,726.93x = 48,423,957.67
  5. Step 5: Solve for x
    x = 48,423,957.67/7,726.93
  6. Step 6: Final answer
    x = 6,266.91

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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.