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Finding the Fourth Proportional to 10,640.12, 15,956.50 and 4,068.16

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Solution

The fourth proportional to 10,640.12, 15,956.50 and 4,068.16 is: 6,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.12 : 15,956.50 = 4,068.16 : x
  2. Step 2: Convert to fraction form
    10,640.12/15,956.50 = 4,068.16/x
  3. Step 3: Cross multiply
    10,640.12x = 15,956.50 × 4,068.16
  4. Step 4: Simplify right side
    10,640.12x = 64,913,595.04
  5. Step 5: Solve for x
    x = 64,913,595.04/10,640.12
  6. Step 6: Final answer
    x = 6,100.83

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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.