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Finding the Fourth Proportional to 8,666.84, 13,003.28 and 2,744.64

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Solution

The fourth proportional to 8,666.84, 13,003.28 and 2,744.64 is: 4,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.84 : 13,003.28 = 2,744.64 : x
  2. Step 2: Convert to fraction form
    8,666.84/13,003.28 = 2,744.64/x
  3. Step 3: Cross multiply
    8,666.84x = 13,003.28 × 2,744.64
  4. Step 4: Simplify right side
    8,666.84x = 35,689,322.42
  5. Step 5: Solve for x
    x = 35,689,322.42/8,666.84
  6. Step 6: Final answer
    x = 4,117.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.