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Finding the Fourth Proportional to 7,148.11, 9,861.08 and 4,631.07

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Solution

The fourth proportional to 7,148.11, 9,861.08 and 4,631.07 is: 6,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.11 : 9,861.08 = 4,631.07 : x
  2. Step 2: Convert to fraction form
    7,148.11/9,861.08 = 4,631.07/x
  3. Step 3: Cross multiply
    7,148.11x = 9,861.08 × 4,631.07
  4. Step 4: Simplify right side
    7,148.11x = 45,667,359.04
  5. Step 5: Solve for x
    x = 45,667,359.04/7,148.11
  6. Step 6: Final answer
    x = 6,388.73

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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.