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Finding the Fourth Proportional to 7,726.47, 10,662.59 and 4,189.71

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Solution

The fourth proportional to 7,726.47, 10,662.59 and 4,189.71 is: 5,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.47 : 10,662.59 = 4,189.71 : x
  2. Step 2: Convert to fraction form
    7,726.47/10,662.59 = 4,189.71/x
  3. Step 3: Cross multiply
    7,726.47x = 10,662.59 × 4,189.71
  4. Step 4: Simplify right side
    7,726.47x = 44,673,159.95
  5. Step 5: Solve for x
    x = 44,673,159.95/7,726.47
  6. Step 6: Final answer
    x = 5,781.83

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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.