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Finding the Fourth Proportional to 10,007, 15,009.78 and 4,162.04

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Solution

The fourth proportional to 10,007, 15,009.78 and 4,162.04 is: 6,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007 : 15,009.78 = 4,162.04 : x
  2. Step 2: Convert to fraction form
    10,007/15,009.78 = 4,162.04/x
  3. Step 3: Cross multiply
    10,007x = 15,009.78 × 4,162.04
  4. Step 4: Simplify right side
    10,007x = 62,471,304.75
  5. Step 5: Solve for x
    x = 62,471,304.75/10,007
  6. Step 6: Final answer
    x = 6,242.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.