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Finding the Fourth Proportional to 7,900.46, 11,856.36 and 4,614.56

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Solution

The fourth proportional to 7,900.46, 11,856.36 and 4,614.56 is: 6,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.46 : 11,856.36 = 4,614.56 : x
  2. Step 2: Convert to fraction form
    7,900.46/11,856.36 = 4,614.56/x
  3. Step 3: Cross multiply
    7,900.46x = 11,856.36 × 4,614.56
  4. Step 4: Simplify right side
    7,900.46x = 54,711,884.60
  5. Step 5: Solve for x
    x = 54,711,884.60/7,900.46
  6. Step 6: Final answer
    x = 6,925.15

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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.