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Finding the Fourth Proportional to 7,507.80, 11,261.70 and 5,434.20

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Solution

The fourth proportional to 7,507.80, 11,261.70 and 5,434.20 is: 8,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.80 : 11,261.70 = 5,434.20 : x
  2. Step 2: Convert to fraction form
    7,507.80/11,261.70 = 5,434.20/x
  3. Step 3: Cross multiply
    7,507.80x = 11,261.70 × 5,434.20
  4. Step 4: Simplify right side
    7,507.80x = 61,198,330.14
  5. Step 5: Solve for x
    x = 61,198,330.14/7,507.80
  6. Step 6: Final answer
    x = 8,151.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.