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Finding the Fourth Proportional to 12,746.65, 17,591.56 and 7,712.11

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Solution

The fourth proportional to 12,746.65, 17,591.56 and 7,712.11 is: 10,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.65 : 17,591.56 = 7,712.11 : x
  2. Step 2: Convert to fraction form
    12,746.65/17,591.56 = 7,712.11/x
  3. Step 3: Cross multiply
    12,746.65x = 17,591.56 × 7,712.11
  4. Step 4: Simplify right side
    12,746.65x = 135,667,957.83
  5. Step 5: Solve for x
    x = 135,667,957.83/12,746.65
  6. Step 6: Final answer
    x = 10,643.42

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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.