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Finding the Fourth Proportional to 7,738.29, 11,612.05 and 2,808.31

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Solution

The fourth proportional to 7,738.29, 11,612.05 and 2,808.31 is: 4,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.29 : 11,612.05 = 2,808.31 : x
  2. Step 2: Convert to fraction form
    7,738.29/11,612.05 = 2,808.31/x
  3. Step 3: Cross multiply
    7,738.29x = 11,612.05 × 2,808.31
  4. Step 4: Simplify right side
    7,738.29x = 32,610,256.76
  5. Step 5: Solve for x
    x = 32,610,256.76/7,738.29
  6. Step 6: Final answer
    x = 4,214.14

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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.