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Finding the Fourth Proportional to 7,767.61, 11,642.16 and 4,473.88

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Solution

The fourth proportional to 7,767.61, 11,642.16 and 4,473.88 is: 6,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.61 : 11,642.16 = 4,473.88 : x
  2. Step 2: Convert to fraction form
    7,767.61/11,642.16 = 4,473.88/x
  3. Step 3: Cross multiply
    7,767.61x = 11,642.16 × 4,473.88
  4. Step 4: Simplify right side
    7,767.61x = 52,085,568.57
  5. Step 5: Solve for x
    x = 52,085,568.57/7,767.61
  6. Step 6: Final answer
    x = 6,705.49

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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.