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Finding the Fourth Proportional to 7,470.78, 11,207.84 and 2,277.06

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Solution

The fourth proportional to 7,470.78, 11,207.84 and 2,277.06 is: 3,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.78 : 11,207.84 = 2,277.06 : x
  2. Step 2: Convert to fraction form
    7,470.78/11,207.84 = 2,277.06/x
  3. Step 3: Cross multiply
    7,470.78x = 11,207.84 × 2,277.06
  4. Step 4: Simplify right side
    7,470.78x = 25,520,912.77
  5. Step 5: Solve for x
    x = 25,520,912.77/7,470.78
  6. Step 6: Final answer
    x = 3,416.10

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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.