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Finding the Fourth Proportional to 7,689.88, 11,523.66 and 4,176.91

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Solution

The fourth proportional to 7,689.88, 11,523.66 and 4,176.91 is: 6,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.88 : 11,523.66 = 4,176.91 : x
  2. Step 2: Convert to fraction form
    7,689.88/11,523.66 = 4,176.91/x
  3. Step 3: Cross multiply
    7,689.88x = 11,523.66 × 4,176.91
  4. Step 4: Simplify right side
    7,689.88x = 48,133,290.69
  5. Step 5: Solve for x
    x = 48,133,290.69/7,689.88
  6. Step 6: Final answer
    x = 6,259.30

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