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Finding the Fourth Proportional to 11,473.74, 15,833.52 and 6,438.06

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Solution

The fourth proportional to 11,473.74, 15,833.52 and 6,438.06 is: 8,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.74 : 15,833.52 = 6,438.06 : x
  2. Step 2: Convert to fraction form
    11,473.74/15,833.52 = 6,438.06/x
  3. Step 3: Cross multiply
    11,473.74x = 15,833.52 × 6,438.06
  4. Step 4: Simplify right side
    11,473.74x = 101,937,151.77
  5. Step 5: Solve for x
    x = 101,937,151.77/11,473.74
  6. Step 6: Final answer
    x = 8,884.39

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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.