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Finding the Fourth Proportional to 7,726.32, 11,560.32 and 4,440.96

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Solution

The fourth proportional to 7,726.32, 11,560.32 and 4,440.96 is: 6,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.32 : 11,560.32 = 4,440.96 : x
  2. Step 2: Convert to fraction form
    7,726.32/11,560.32 = 4,440.96/x
  3. Step 3: Cross multiply
    7,726.32x = 11,560.32 × 4,440.96
  4. Step 4: Simplify right side
    7,726.32x = 51,338,918.71
  5. Step 5: Solve for x
    x = 51,338,918.71/7,726.32
  6. Step 6: Final answer
    x = 6,644.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.