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Finding the Fourth Proportional to 8,196.75, 11,307.47 and 5,170.50

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Solution

The fourth proportional to 8,196.75, 11,307.47 and 5,170.50 is: 7,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.75 : 11,307.47 = 5,170.50 : x
  2. Step 2: Convert to fraction form
    8,196.75/11,307.47 = 5,170.50/x
  3. Step 3: Cross multiply
    8,196.75x = 11,307.47 × 5,170.50
  4. Step 4: Simplify right side
    8,196.75x = 58,465,247.78
  5. Step 5: Solve for x
    x = 58,465,247.78/8,196.75
  6. Step 6: Final answer
    x = 7,132.74

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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.