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Finding the Fourth Proportional to 7,077.76, 10,616.96 and 4,336

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Solution

The fourth proportional to 7,077.76, 10,616.96 and 4,336 is: 6,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.76 : 10,616.96 = 4,336 : x
  2. Step 2: Convert to fraction form
    7,077.76/10,616.96 = 4,336/x
  3. Step 3: Cross multiply
    7,077.76x = 10,616.96 × 4,336
  4. Step 4: Simplify right side
    7,077.76x = 46,035,138.56
  5. Step 5: Solve for x
    x = 46,035,138.56/7,077.76
  6. Step 6: Final answer
    x = 6,504.20

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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.