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Finding the Fourth Proportional to 8,042.50, 11,098.68 and 5,248

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Solution

The fourth proportional to 8,042.50, 11,098.68 and 5,248 is: 7,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.50 : 11,098.68 = 5,248 : x
  2. Step 2: Convert to fraction form
    8,042.50/11,098.68 = 5,248/x
  3. Step 3: Cross multiply
    8,042.50x = 11,098.68 × 5,248
  4. Step 4: Simplify right side
    8,042.50x = 58,245,872.64
  5. Step 5: Solve for x
    x = 58,245,872.64/8,042.50
  6. Step 6: Final answer
    x = 7,242.26

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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.