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Finding the Fourth Proportional to 7,581.90, 10,463.04 and 4,596.96

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Solution

The fourth proportional to 7,581.90, 10,463.04 and 4,596.96 is: 6,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.90 : 10,463.04 = 4,596.96 : x
  2. Step 2: Convert to fraction form
    7,581.90/10,463.04 = 4,596.96/x
  3. Step 3: Cross multiply
    7,581.90x = 10,463.04 × 4,596.96
  4. Step 4: Simplify right side
    7,581.90x = 48,098,176.36
  5. Step 5: Solve for x
    x = 48,098,176.36/7,581.90
  6. Step 6: Final answer
    x = 6,343.82

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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.