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Finding the Fourth Proportional to 8,699.97, 12,007.24 and 5,114.77

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Solution

The fourth proportional to 8,699.97, 12,007.24 and 5,114.77 is: 7,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.97 : 12,007.24 = 5,114.77 : x
  2. Step 2: Convert to fraction form
    8,699.97/12,007.24 = 5,114.77/x
  3. Step 3: Cross multiply
    8,699.97x = 12,007.24 × 5,114.77
  4. Step 4: Simplify right side
    8,699.97x = 61,414,270.93
  5. Step 5: Solve for x
    x = 61,414,270.93/8,699.97
  6. Step 6: Final answer
    x = 7,059.14

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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.