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Finding the Fourth Proportional to 7,277.32, 10,042.69 and 3,965.32

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Solution

The fourth proportional to 7,277.32, 10,042.69 and 3,965.32 is: 5,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.32 : 10,042.69 = 3,965.32 : x
  2. Step 2: Convert to fraction form
    7,277.32/10,042.69 = 3,965.32/x
  3. Step 3: Cross multiply
    7,277.32x = 10,042.69 × 3,965.32
  4. Step 4: Simplify right side
    7,277.32x = 39,822,429.30
  5. Step 5: Solve for x
    x = 39,822,429.30/7,277.32
  6. Step 6: Final answer
    x = 5,472.13

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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.