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Finding the Fourth Proportional to 7,657, 11,488.23 and 3,764.14

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Solution

The fourth proportional to 7,657, 11,488.23 and 3,764.14 is: 5,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657 : 11,488.23 = 3,764.14 : x
  2. Step 2: Convert to fraction form
    7,657/11,488.23 = 3,764.14/x
  3. Step 3: Cross multiply
    7,657x = 11,488.23 × 3,764.14
  4. Step 4: Simplify right side
    7,657x = 43,243,306.07
  5. Step 5: Solve for x
    x = 43,243,306.07/7,657
  6. Step 6: Final answer
    x = 5,647.55

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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.