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Finding the Fourth Proportional to 7,641.45, 11,462.17 and 5,043.78

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Solution

The fourth proportional to 7,641.45, 11,462.17 and 5,043.78 is: 7,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.45 : 11,462.17 = 5,043.78 : x
  2. Step 2: Convert to fraction form
    7,641.45/11,462.17 = 5,043.78/x
  3. Step 3: Cross multiply
    7,641.45x = 11,462.17 × 5,043.78
  4. Step 4: Simplify right side
    7,641.45x = 57,812,641.45
  5. Step 5: Solve for x
    x = 57,812,641.45/7,641.45
  6. Step 6: Final answer
    x = 7,565.67

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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.