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Finding the Fourth Proportional to 8,174.59, 11,280.16 and 4,988.82

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Solution

The fourth proportional to 8,174.59, 11,280.16 and 4,988.82 is: 6,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.59 : 11,280.16 = 4,988.82 : x
  2. Step 2: Convert to fraction form
    8,174.59/11,280.16 = 4,988.82/x
  3. Step 3: Cross multiply
    8,174.59x = 11,280.16 × 4,988.82
  4. Step 4: Simplify right side
    8,174.59x = 56,274,687.81
  5. Step 5: Solve for x
    x = 56,274,687.81/8,174.59
  6. Step 6: Final answer
    x = 6,884.10

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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.