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Finding the Fourth Proportional to 7,815.66, 10,784.44 and 4,747.92

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Solution

The fourth proportional to 7,815.66, 10,784.44 and 4,747.92 is: 6,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.66 : 10,784.44 = 4,747.92 : x
  2. Step 2: Convert to fraction form
    7,815.66/10,784.44 = 4,747.92/x
  3. Step 3: Cross multiply
    7,815.66x = 10,784.44 × 4,747.92
  4. Step 4: Simplify right side
    7,815.66x = 51,203,604.44
  5. Step 5: Solve for x
    x = 51,203,604.44/7,815.66
  6. Step 6: Final answer
    x = 6,551.42

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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.