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Finding the Fourth Proportional to 8,077.60, 11,146.32 and 4,721.20

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Solution

The fourth proportional to 8,077.60, 11,146.32 and 4,721.20 is: 6,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.60 : 11,146.32 = 4,721.20 : x
  2. Step 2: Convert to fraction form
    8,077.60/11,146.32 = 4,721.20/x
  3. Step 3: Cross multiply
    8,077.60x = 11,146.32 × 4,721.20
  4. Step 4: Simplify right side
    8,077.60x = 52,624,005.98
  5. Step 5: Solve for x
    x = 52,624,005.98/8,077.60
  6. Step 6: Final answer
    x = 6,514.81

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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.