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Finding the Fourth Proportional to 7,275.42, 10,903.14 and 4,156.92

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Solution

The fourth proportional to 7,275.42, 10,903.14 and 4,156.92 is: 6,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.42 : 10,903.14 = 4,156.92 : x
  2. Step 2: Convert to fraction form
    7,275.42/10,903.14 = 4,156.92/x
  3. Step 3: Cross multiply
    7,275.42x = 10,903.14 × 4,156.92
  4. Step 4: Simplify right side
    7,275.42x = 45,323,480.73
  5. Step 5: Solve for x
    x = 45,323,480.73/7,275.42
  6. Step 6: Final answer
    x = 6,229.67

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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.