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Finding the Fourth Proportional to 8,752.36, 13,097.70 and 5,467

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Solution

The fourth proportional to 8,752.36, 13,097.70 and 5,467 is: 8,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752.36 : 13,097.70 = 5,467 : x
  2. Step 2: Convert to fraction form
    8,752.36/13,097.70 = 5,467/x
  3. Step 3: Cross multiply
    8,752.36x = 13,097.70 × 5,467
  4. Step 4: Simplify right side
    8,752.36x = 71,605,125.90
  5. Step 5: Solve for x
    x = 71,605,125.90/8,752.36
  6. Step 6: Final answer
    x = 8,181.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.