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Finding the Fourth Proportional to 10,441.74, 14,390.76 and 7,604.62

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Solution

The fourth proportional to 10,441.74, 14,390.76 and 7,604.62 is: 10,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.74 : 14,390.76 = 7,604.62 : x
  2. Step 2: Convert to fraction form
    10,441.74/14,390.76 = 7,604.62/x
  3. Step 3: Cross multiply
    10,441.74x = 14,390.76 × 7,604.62
  4. Step 4: Simplify right side
    10,441.74x = 109,436,253.85
  5. Step 5: Solve for x
    x = 109,436,253.85/10,441.74
  6. Step 6: Final answer
    x = 10,480.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.