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Finding the Fourth Proportional to 8,744.29, 12,064.16 and 5,340.06

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Solution

The fourth proportional to 8,744.29, 12,064.16 and 5,340.06 is: 7,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.29 : 12,064.16 = 5,340.06 : x
  2. Step 2: Convert to fraction form
    8,744.29/12,064.16 = 5,340.06/x
  3. Step 3: Cross multiply
    8,744.29x = 12,064.16 × 5,340.06
  4. Step 4: Simplify right side
    8,744.29x = 64,423,338.25
  5. Step 5: Solve for x
    x = 64,423,338.25/8,744.29
  6. Step 6: Final answer
    x = 7,367.48

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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.