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Finding the Fourth Proportional to 8,278.30, 11,421.03 and 7,397.02

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Solution

The fourth proportional to 8,278.30, 11,421.03 and 7,397.02 is: 10,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.30 : 11,421.03 = 7,397.02 : x
  2. Step 2: Convert to fraction form
    8,278.30/11,421.03 = 7,397.02/x
  3. Step 3: Cross multiply
    8,278.30x = 11,421.03 × 7,397.02
  4. Step 4: Simplify right side
    8,278.30x = 84,481,587.33
  5. Step 5: Solve for x
    x = 84,481,587.33/8,278.30
  6. Step 6: Final answer
    x = 10,205.19

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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.