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Finding the Fourth Proportional to 10,654.84, 15,980.46 and 2,861.92

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Solution

The fourth proportional to 10,654.84, 15,980.46 and 2,861.92 is: 4,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.84 : 15,980.46 = 2,861.92 : x
  2. Step 2: Convert to fraction form
    10,654.84/15,980.46 = 2,861.92/x
  3. Step 3: Cross multiply
    10,654.84x = 15,980.46 × 2,861.92
  4. Step 4: Simplify right side
    10,654.84x = 45,734,798.08
  5. Step 5: Solve for x
    x = 45,734,798.08/10,654.84
  6. Step 6: Final answer
    x = 4,292.40

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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.