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Finding the Fourth Proportional to 10,451.64, 15,668.82 and 7,156.56

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Solution

The fourth proportional to 10,451.64, 15,668.82 and 7,156.56 is: 10,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.64 : 15,668.82 = 7,156.56 : x
  2. Step 2: Convert to fraction form
    10,451.64/15,668.82 = 7,156.56/x
  3. Step 3: Cross multiply
    10,451.64x = 15,668.82 × 7,156.56
  4. Step 4: Simplify right side
    10,451.64x = 112,134,850.46
  5. Step 5: Solve for x
    x = 112,134,850.46/10,451.64
  6. Step 6: Final answer
    x = 10,728.92

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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.