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Finding the Fourth Proportional to 8,540.84, 12,820.34 and 7,559.89

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Solution

The fourth proportional to 8,540.84, 12,820.34 and 7,559.89 is: 11,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.84 : 12,820.34 = 7,559.89 : x
  2. Step 2: Convert to fraction form
    8,540.84/12,820.34 = 7,559.89/x
  3. Step 3: Cross multiply
    8,540.84x = 12,820.34 × 7,559.89
  4. Step 4: Simplify right side
    8,540.84x = 96,920,347.01
  5. Step 5: Solve for x
    x = 96,920,347.01/8,540.84
  6. Step 6: Final answer
    x = 11,347.87

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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.