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Finding the Fourth Proportional to 6,820.95, 10,237.92 and 3,536.40

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Solution

The fourth proportional to 6,820.95, 10,237.92 and 3,536.40 is: 5,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.95 : 10,237.92 = 3,536.40 : x
  2. Step 2: Convert to fraction form
    6,820.95/10,237.92 = 3,536.40/x
  3. Step 3: Cross multiply
    6,820.95x = 10,237.92 × 3,536.40
  4. Step 4: Simplify right side
    6,820.95x = 36,205,380.29
  5. Step 5: Solve for x
    x = 36,205,380.29/6,820.95
  6. Step 6: Final answer
    x = 5,307.97

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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.