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Finding the Fourth Proportional to 7,700.91, 11,544.67 and 3,746.65

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Solution

The fourth proportional to 7,700.91, 11,544.67 and 3,746.65 is: 5,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.91 : 11,544.67 = 3,746.65 : x
  2. Step 2: Convert to fraction form
    7,700.91/11,544.67 = 3,746.65/x
  3. Step 3: Cross multiply
    7,700.91x = 11,544.67 × 3,746.65
  4. Step 4: Simplify right side
    7,700.91x = 43,253,837.86
  5. Step 5: Solve for x
    x = 43,253,837.86/7,700.91
  6. Step 6: Final answer
    x = 5,616.72

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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.