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Finding the Fourth Proportional to 10,610.64, 15,930.44 and 7,315.60

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Solution

The fourth proportional to 10,610.64, 15,930.44 and 7,315.60 is: 10,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.64 : 15,930.44 = 7,315.60 : x
  2. Step 2: Convert to fraction form
    10,610.64/15,930.44 = 7,315.60/x
  3. Step 3: Cross multiply
    10,610.64x = 15,930.44 × 7,315.60
  4. Step 4: Simplify right side
    10,610.64x = 116,540,726.86
  5. Step 5: Solve for x
    x = 116,540,726.86/10,610.64
  6. Step 6: Final answer
    x = 10,983.38

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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.