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Finding the Fourth Proportional to 11,493.54, 15,859.80 and 6,456.75

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Solution

The fourth proportional to 11,493.54, 15,859.80 and 6,456.75 is: 8,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.54 : 15,859.80 = 6,456.75 : x
  2. Step 2: Convert to fraction form
    11,493.54/15,859.80 = 6,456.75/x
  3. Step 3: Cross multiply
    11,493.54x = 15,859.80 × 6,456.75
  4. Step 4: Simplify right side
    11,493.54x = 102,402,763.65
  5. Step 5: Solve for x
    x = 102,402,763.65/11,493.54
  6. Step 6: Final answer
    x = 8,909.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.