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Finding the Fourth Proportional to 8,197.28, 11,312.04 and 5,010.56

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Solution

The fourth proportional to 8,197.28, 11,312.04 and 5,010.56 is: 6,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.28 : 11,312.04 = 5,010.56 : x
  2. Step 2: Convert to fraction form
    8,197.28/11,312.04 = 5,010.56/x
  3. Step 3: Cross multiply
    8,197.28x = 11,312.04 × 5,010.56
  4. Step 4: Simplify right side
    8,197.28x = 56,679,655.14
  5. Step 5: Solve for x
    x = 56,679,655.14/8,197.28
  6. Step 6: Final answer
    x = 6,914.45

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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.