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Finding the Fourth Proportional to 7,778.04, 11,658.40 and 4,080.69

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Solution

The fourth proportional to 7,778.04, 11,658.40 and 4,080.69 is: 6,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.04 : 11,658.40 = 4,080.69 : x
  2. Step 2: Convert to fraction form
    7,778.04/11,658.40 = 4,080.69/x
  3. Step 3: Cross multiply
    7,778.04x = 11,658.40 × 4,080.69
  4. Step 4: Simplify right side
    7,778.04x = 47,574,306.09
  5. Step 5: Solve for x
    x = 47,574,306.09/7,778.04
  6. Step 6: Final answer
    x = 6,116.49

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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.