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Finding the Fourth Proportional to 7,752.59, 11,626.11 and 2,486.51

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Solution

The fourth proportional to 7,752.59, 11,626.11 and 2,486.51 is: 3,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.59 : 11,626.11 = 2,486.51 : x
  2. Step 2: Convert to fraction form
    7,752.59/11,626.11 = 2,486.51/x
  3. Step 3: Cross multiply
    7,752.59x = 11,626.11 × 2,486.51
  4. Step 4: Simplify right side
    7,752.59x = 28,908,380.65
  5. Step 5: Solve for x
    x = 28,908,380.65/7,752.59
  6. Step 6: Final answer
    x = 3,728.87

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Why These Related Problems?

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