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Finding the Fourth Proportional to 11,280.38, 15,559.74 and 9,047.62

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Solution

The fourth proportional to 11,280.38, 15,559.74 and 9,047.62 is: 12,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.38 : 15,559.74 = 9,047.62 : x
  2. Step 2: Convert to fraction form
    11,280.38/15,559.74 = 9,047.62/x
  3. Step 3: Cross multiply
    11,280.38x = 15,559.74 × 9,047.62
  4. Step 4: Simplify right side
    11,280.38x = 140,778,614.82
  5. Step 5: Solve for x
    x = 140,778,614.82/11,280.38
  6. Step 6: Final answer
    x = 12,479.95

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Why These Related Problems?

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