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Finding the Fourth Proportional to 10,610.64, 15,919.20 and 6,709.68

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Solution

The fourth proportional to 10,610.64, 15,919.20 and 6,709.68 is: 10,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.64 : 15,919.20 = 6,709.68 : x
  2. Step 2: Convert to fraction form
    10,610.64/15,919.20 = 6,709.68/x
  3. Step 3: Cross multiply
    10,610.64x = 15,919.20 × 6,709.68
  4. Step 4: Simplify right side
    10,610.64x = 106,812,737.86
  5. Step 5: Solve for x
    x = 106,812,737.86/10,610.64
  6. Step 6: Final answer
    x = 10,066.57

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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.