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Finding the Fourth Proportional to 8,301.65, 12,441.53 and 4,601.97

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Solution

The fourth proportional to 8,301.65, 12,441.53 and 4,601.97 is: 6,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.65 : 12,441.53 = 4,601.97 : x
  2. Step 2: Convert to fraction form
    8,301.65/12,441.53 = 4,601.97/x
  3. Step 3: Cross multiply
    8,301.65x = 12,441.53 × 4,601.97
  4. Step 4: Simplify right side
    8,301.65x = 57,255,559.32
  5. Step 5: Solve for x
    x = 57,255,559.32/8,301.65
  6. Step 6: Final answer
    x = 6,896.89

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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.