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Finding the Fourth Proportional to 7,159.97, 10,739.94 and 4,038.55

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Solution

The fourth proportional to 7,159.97, 10,739.94 and 4,038.55 is: 6,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.97 : 10,739.94 = 4,038.55 : x
  2. Step 2: Convert to fraction form
    7,159.97/10,739.94 = 4,038.55/x
  3. Step 3: Cross multiply
    7,159.97x = 10,739.94 × 4,038.55
  4. Step 4: Simplify right side
    7,159.97x = 43,373,801.44
  5. Step 5: Solve for x
    x = 43,373,801.44/7,159.97
  6. Step 6: Final answer
    x = 6,057.82

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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.