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Finding the Fourth Proportional to 11,002.38, 15,185.93 and 6,289.40

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Solution

The fourth proportional to 11,002.38, 15,185.93 and 6,289.40 is: 8,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.38 : 15,185.93 = 6,289.40 : x
  2. Step 2: Convert to fraction form
    11,002.38/15,185.93 = 6,289.40/x
  3. Step 3: Cross multiply
    11,002.38x = 15,185.93 × 6,289.40
  4. Step 4: Simplify right side
    11,002.38x = 95,510,280.77
  5. Step 5: Solve for x
    x = 95,510,280.77/11,002.38
  6. Step 6: Final answer
    x = 8,680.87

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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.