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Finding the Fourth Proportional to 7,726.47, 10,654.53 and 6,611.10

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Solution

The fourth proportional to 7,726.47, 10,654.53 and 6,611.10 is: 9,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.47 : 10,654.53 = 6,611.10 : x
  2. Step 2: Convert to fraction form
    7,726.47/10,654.53 = 6,611.10/x
  3. Step 3: Cross multiply
    7,726.47x = 10,654.53 × 6,611.10
  4. Step 4: Simplify right side
    7,726.47x = 70,438,163.28
  5. Step 5: Solve for x
    x = 70,438,163.28/7,726.47
  6. Step 6: Final answer
    x = 9,116.47

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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.