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Finding the Fourth Proportional to 11,643.81, 17,472.72 and 4,248.92

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Solution

The fourth proportional to 11,643.81, 17,472.72 and 4,248.92 is: 6,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.81 : 17,472.72 = 4,248.92 : x
  2. Step 2: Convert to fraction form
    11,643.81/17,472.72 = 4,248.92/x
  3. Step 3: Cross multiply
    11,643.81x = 17,472.72 × 4,248.92
  4. Step 4: Simplify right side
    11,643.81x = 74,240,102.10
  5. Step 5: Solve for x
    x = 74,240,102.10/11,643.81
  6. Step 6: Final answer
    x = 6,375.93

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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.