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Finding the Fourth Proportional to 8,130.58, 11,221.44 and 5,902.57

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Solution

The fourth proportional to 8,130.58, 11,221.44 and 5,902.57 is: 8,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.58 : 11,221.44 = 5,902.57 : x
  2. Step 2: Convert to fraction form
    8,130.58/11,221.44 = 5,902.57/x
  3. Step 3: Cross multiply
    8,130.58x = 11,221.44 × 5,902.57
  4. Step 4: Simplify right side
    8,130.58x = 66,235,326.99
  5. Step 5: Solve for x
    x = 66,235,326.99/8,130.58
  6. Step 6: Final answer
    x = 8,146.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.