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Finding the Fourth Proportional to 10,197.57, 15,296.41 and 4,647.15

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Solution

The fourth proportional to 10,197.57, 15,296.41 and 4,647.15 is: 6,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.57 : 15,296.41 = 4,647.15 : x
  2. Step 2: Convert to fraction form
    10,197.57/15,296.41 = 4,647.15/x
  3. Step 3: Cross multiply
    10,197.57x = 15,296.41 × 4,647.15
  4. Step 4: Simplify right side
    10,197.57x = 71,084,642.75
  5. Step 5: Solve for x
    x = 71,084,642.75/10,197.57
  6. Step 6: Final answer
    x = 6,970.74

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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.