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Finding the Fourth Proportional to 7,538.48, 11,252.80 and 6,982.61

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Solution

The fourth proportional to 7,538.48, 11,252.80 and 6,982.61 is: 10,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.48 : 11,252.80 = 6,982.61 : x
  2. Step 2: Convert to fraction form
    7,538.48/11,252.80 = 6,982.61/x
  3. Step 3: Cross multiply
    7,538.48x = 11,252.80 × 6,982.61
  4. Step 4: Simplify right side
    7,538.48x = 78,573,924.48
  5. Step 5: Solve for x
    x = 78,573,924.48/7,538.48
  6. Step 6: Final answer
    x = 10,423.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.