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Finding the Fourth Proportional to 11,257.62, 15,532.65 and 6,780.48

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Solution

The fourth proportional to 11,257.62, 15,532.65 and 6,780.48 is: 9,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.62 : 15,532.65 = 6,780.48 : x
  2. Step 2: Convert to fraction form
    11,257.62/15,532.65 = 6,780.48/x
  3. Step 3: Cross multiply
    11,257.62x = 15,532.65 × 6,780.48
  4. Step 4: Simplify right side
    11,257.62x = 105,318,822.67
  5. Step 5: Solve for x
    x = 105,318,822.67/11,257.62
  6. Step 6: Final answer
    x = 9,355.34

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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.