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Finding the Fourth Proportional to 8,397.44, 11,587.20 and 4,861

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Solution

The fourth proportional to 8,397.44, 11,587.20 and 4,861 is: 6,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.44 : 11,587.20 = 4,861 : x
  2. Step 2: Convert to fraction form
    8,397.44/11,587.20 = 4,861/x
  3. Step 3: Cross multiply
    8,397.44x = 11,587.20 × 4,861
  4. Step 4: Simplify right side
    8,397.44x = 56,325,379.20
  5. Step 5: Solve for x
    x = 56,325,379.20/8,397.44
  6. Step 6: Final answer
    x = 6,707.45

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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.