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Finding the Fourth Proportional to 10,197.60, 15,296.52 and 4,196.64

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Solution

The fourth proportional to 10,197.60, 15,296.52 and 4,196.64 is: 6,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.60 : 15,296.52 = 4,196.64 : x
  2. Step 2: Convert to fraction form
    10,197.60/15,296.52 = 4,196.64/x
  3. Step 3: Cross multiply
    10,197.60x = 15,296.52 × 4,196.64
  4. Step 4: Simplify right side
    10,197.60x = 64,193,987.69
  5. Step 5: Solve for x
    x = 64,193,987.69/10,197.60
  6. Step 6: Final answer
    x = 6,295.01

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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.