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Finding the Fourth Proportional to 7,653.78, 11,478.51 and 2,105.78

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Solution

The fourth proportional to 7,653.78, 11,478.51 and 2,105.78 is: 3,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.78 : 11,478.51 = 2,105.78 : x
  2. Step 2: Convert to fraction form
    7,653.78/11,478.51 = 2,105.78/x
  3. Step 3: Cross multiply
    7,653.78x = 11,478.51 × 2,105.78
  4. Step 4: Simplify right side
    7,653.78x = 24,171,159.40
  5. Step 5: Solve for x
    x = 24,171,159.40/7,653.78
  6. Step 6: Final answer
    x = 3,158.07

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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.