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Finding the Fourth Proportional to 8,645.94, 11,927.25 and 5,660.46

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Solution

The fourth proportional to 8,645.94, 11,927.25 and 5,660.46 is: 7,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.94 : 11,927.25 = 5,660.46 : x
  2. Step 2: Convert to fraction form
    8,645.94/11,927.25 = 5,660.46/x
  3. Step 3: Cross multiply
    8,645.94x = 11,927.25 × 5,660.46
  4. Step 4: Simplify right side
    8,645.94x = 67,513,721.54
  5. Step 5: Solve for x
    x = 67,513,721.54/8,645.94
  6. Step 6: Final answer
    x = 7,808.72

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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.