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Finding the Fourth Proportional to 7,767.30, 10,718.92 and 4,230.52

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Solution

The fourth proportional to 7,767.30, 10,718.92 and 4,230.52 is: 5,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.30 : 10,718.92 = 4,230.52 : x
  2. Step 2: Convert to fraction form
    7,767.30/10,718.92 = 4,230.52/x
  3. Step 3: Cross multiply
    7,767.30x = 10,718.92 × 4,230.52
  4. Step 4: Simplify right side
    7,767.30x = 45,346,605.44
  5. Step 5: Solve for x
    x = 45,346,605.44/7,767.30
  6. Step 6: Final answer
    x = 5,838.14

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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.