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Finding the Fourth Proportional to 10,545.66, 15,806.25 and 3,967.65

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Solution

The fourth proportional to 10,545.66, 15,806.25 and 3,967.65 is: 5,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.66 : 15,806.25 = 3,967.65 : x
  2. Step 2: Convert to fraction form
    10,545.66/15,806.25 = 3,967.65/x
  3. Step 3: Cross multiply
    10,545.66x = 15,806.25 × 3,967.65
  4. Step 4: Simplify right side
    10,545.66x = 62,713,667.81
  5. Step 5: Solve for x
    x = 62,713,667.81/10,545.66
  6. Step 6: Final answer
    x = 5,946.87

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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.