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Finding the Fourth Proportional to 12,335.46, 17,035.35 and 7,861.20

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Solution

The fourth proportional to 12,335.46, 17,035.35 and 7,861.20 is: 10,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.46 : 17,035.35 = 7,861.20 : x
  2. Step 2: Convert to fraction form
    12,335.46/17,035.35 = 7,861.20/x
  3. Step 3: Cross multiply
    12,335.46x = 17,035.35 × 7,861.20
  4. Step 4: Simplify right side
    12,335.46x = 133,918,293.42
  5. Step 5: Solve for x
    x = 133,918,293.42/12,335.46
  6. Step 6: Final answer
    x = 10,856.37

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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.