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Finding the Fourth Proportional to 7,759.18, 10,637.86 and 7,618.78

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Solution

The fourth proportional to 7,759.18, 10,637.86 and 7,618.78 is: 10,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.18 : 10,637.86 = 7,618.78 : x
  2. Step 2: Convert to fraction form
    7,759.18/10,637.86 = 7,618.78/x
  3. Step 3: Cross multiply
    7,759.18x = 10,637.86 × 7,618.78
  4. Step 4: Simplify right side
    7,759.18x = 81,047,515.01
  5. Step 5: Solve for x
    x = 81,047,515.01/7,759.18
  6. Step 6: Final answer
    x = 10,445.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.