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Finding the Fourth Proportional to 12,687.75, 17,509.10 and 7,098.75

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Solution

The fourth proportional to 12,687.75, 17,509.10 and 7,098.75 is: 9,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.75 : 17,509.10 = 7,098.75 : x
  2. Step 2: Convert to fraction form
    12,687.75/17,509.10 = 7,098.75/x
  3. Step 3: Cross multiply
    12,687.75x = 17,509.10 × 7,098.75
  4. Step 4: Simplify right side
    12,687.75x = 124,292,688.13
  5. Step 5: Solve for x
    x = 124,292,688.13/12,687.75
  6. Step 6: Final answer
    x = 9,796.28

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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.