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Finding the Fourth Proportional to 8,235.70, 12,338.04 and 4,070.84

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Solution

The fourth proportional to 8,235.70, 12,338.04 and 4,070.84 is: 6,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.70 : 12,338.04 = 4,070.84 : x
  2. Step 2: Convert to fraction form
    8,235.70/12,338.04 = 4,070.84/x
  3. Step 3: Cross multiply
    8,235.70x = 12,338.04 × 4,070.84
  4. Step 4: Simplify right side
    8,235.70x = 50,226,186.75
  5. Step 5: Solve for x
    x = 50,226,186.75/8,235.70
  6. Step 6: Final answer
    x = 6,098.59

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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.