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Finding the Fourth Proportional to 37,861.32, 56,790.78 and 11,565

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Solution

The fourth proportional to 37,861.32, 56,790.78 and 11,565 is: 17,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,861.32 : 56,790.78 = 11,565 : x
  2. Step 2: Convert to fraction form
    37,861.32/56,790.78 = 11,565/x
  3. Step 3: Cross multiply
    37,861.32x = 56,790.78 × 11,565
  4. Step 4: Simplify right side
    37,861.32x = 656,785,370.70
  5. Step 5: Solve for x
    x = 656,785,370.70/37,861.32
  6. Step 6: Final answer
    x = 17,347.13

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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.