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Finding the Fourth Proportional to 8,964.84, 12,383.10 and 7,718.52

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Solution

The fourth proportional to 8,964.84, 12,383.10 and 7,718.52 is: 10,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.84 : 12,383.10 = 7,718.52 : x
  2. Step 2: Convert to fraction form
    8,964.84/12,383.10 = 7,718.52/x
  3. Step 3: Cross multiply
    8,964.84x = 12,383.10 × 7,718.52
  4. Step 4: Simplify right side
    8,964.84x = 95,579,205.01
  5. Step 5: Solve for x
    x = 95,579,205.01/8,964.84
  6. Step 6: Final answer
    x = 10,661.56

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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.