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Finding the Fourth Proportional to 8,484.16, 12,729.76 and 5,197.36

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Solution

The fourth proportional to 8,484.16, 12,729.76 and 5,197.36 is: 7,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.16 : 12,729.76 = 5,197.36 : x
  2. Step 2: Convert to fraction form
    8,484.16/12,729.76 = 5,197.36/x
  3. Step 3: Cross multiply
    8,484.16x = 12,729.76 × 5,197.36
  4. Step 4: Simplify right side
    8,484.16x = 66,161,145.43
  5. Step 5: Solve for x
    x = 66,161,145.43/8,484.16
  6. Step 6: Final answer
    x = 7,798.20

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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.