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Finding the Fourth Proportional to 7,157.03, 10,739.45 and 2,774.66

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Solution

The fourth proportional to 7,157.03, 10,739.45 and 2,774.66 is: 4,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.03 : 10,739.45 = 2,774.66 : x
  2. Step 2: Convert to fraction form
    7,157.03/10,739.45 = 2,774.66/x
  3. Step 3: Cross multiply
    7,157.03x = 10,739.45 × 2,774.66
  4. Step 4: Simplify right side
    7,157.03x = 29,798,275.58
  5. Step 5: Solve for x
    x = 29,798,275.58/7,157.03
  6. Step 6: Final answer
    x = 4,163.50

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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.