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Finding the Fourth Proportional to 7,726.91, 10,663.79 and 6,465.74

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Solution

The fourth proportional to 7,726.91, 10,663.79 and 6,465.74 is: 8,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.91 : 10,663.79 = 6,465.74 : x
  2. Step 2: Convert to fraction form
    7,726.91/10,663.79 = 6,465.74/x
  3. Step 3: Cross multiply
    7,726.91x = 10,663.79 × 6,465.74
  4. Step 4: Simplify right side
    7,726.91x = 68,949,207.91
  5. Step 5: Solve for x
    x = 68,949,207.91/7,726.91
  6. Step 6: Final answer
    x = 8,923.26

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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.