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Finding the Fourth Proportional to 7,705.32, 11,558 and 1,861.92

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Solution

The fourth proportional to 7,705.32, 11,558 and 1,861.92 is: 2,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.32 : 11,558 = 1,861.92 : x
  2. Step 2: Convert to fraction form
    7,705.32/11,558 = 1,861.92/x
  3. Step 3: Cross multiply
    7,705.32x = 11,558 × 1,861.92
  4. Step 4: Simplify right side
    7,705.32x = 21,520,071.36
  5. Step 5: Solve for x
    x = 21,520,071.36/7,705.32
  6. Step 6: Final answer
    x = 2,792.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.