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Finding the Fourth Proportional to 10,529.28, 15,770.88 and 7,441.92

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Solution

The fourth proportional to 10,529.28, 15,770.88 and 7,441.92 is: 11,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.28 : 15,770.88 = 7,441.92 : x
  2. Step 2: Convert to fraction form
    10,529.28/15,770.88 = 7,441.92/x
  3. Step 3: Cross multiply
    10,529.28x = 15,770.88 × 7,441.92
  4. Step 4: Simplify right side
    10,529.28x = 117,365,627.29
  5. Step 5: Solve for x
    x = 117,365,627.29/10,529.28
  6. Step 6: Final answer
    x = 11,146.60

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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.