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Finding the Fourth Proportional to 7,656.66, 10,565.64 and 4,469.04

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Solution

The fourth proportional to 7,656.66, 10,565.64 and 4,469.04 is: 6,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.66 : 10,565.64 = 4,469.04 : x
  2. Step 2: Convert to fraction form
    7,656.66/10,565.64 = 4,469.04/x
  3. Step 3: Cross multiply
    7,656.66x = 10,565.64 × 4,469.04
  4. Step 4: Simplify right side
    7,656.66x = 47,218,267.79
  5. Step 5: Solve for x
    x = 47,218,267.79/7,656.66
  6. Step 6: Final answer
    x = 6,166.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.