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Finding the Fourth Proportional to 8,196.98, 12,264.48 and 5,023.13

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Solution

The fourth proportional to 8,196.98, 12,264.48 and 5,023.13 is: 7,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.98 : 12,264.48 = 5,023.13 : x
  2. Step 2: Convert to fraction form
    8,196.98/12,264.48 = 5,023.13/x
  3. Step 3: Cross multiply
    8,196.98x = 12,264.48 × 5,023.13
  4. Step 4: Simplify right side
    8,196.98x = 61,606,016.10
  5. Step 5: Solve for x
    x = 61,606,016.10/8,196.98
  6. Step 6: Final answer
    x = 7,515.70

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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.