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Finding the Fourth Proportional to 8,125.34, 11,209.62 and 5,473.61

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Solution

The fourth proportional to 8,125.34, 11,209.62 and 5,473.61 is: 7,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.34 : 11,209.62 = 5,473.61 : x
  2. Step 2: Convert to fraction form
    8,125.34/11,209.62 = 5,473.61/x
  3. Step 3: Cross multiply
    8,125.34x = 11,209.62 × 5,473.61
  4. Step 4: Simplify right side
    8,125.34x = 61,357,032.08
  5. Step 5: Solve for x
    x = 61,357,032.08/8,125.34
  6. Step 6: Final answer
    x = 7,551.32

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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.