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Finding the Fourth Proportional to 7,763.68, 11,646.27 and 2,832.16

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Solution

The fourth proportional to 7,763.68, 11,646.27 and 2,832.16 is: 4,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.68 : 11,646.27 = 2,832.16 : x
  2. Step 2: Convert to fraction form
    7,763.68/11,646.27 = 2,832.16/x
  3. Step 3: Cross multiply
    7,763.68x = 11,646.27 × 2,832.16
  4. Step 4: Simplify right side
    7,763.68x = 32,984,100.04
  5. Step 5: Solve for x
    x = 32,984,100.04/7,763.68
  6. Step 6: Final answer
    x = 4,248.51

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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.