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Finding the Fourth Proportional to 7,787.98, 10,746.97 and 4,431.61

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Solution

The fourth proportional to 7,787.98, 10,746.97 and 4,431.61 is: 6,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.98 : 10,746.97 = 4,431.61 : x
  2. Step 2: Convert to fraction form
    7,787.98/10,746.97 = 4,431.61/x
  3. Step 3: Cross multiply
    7,787.98x = 10,746.97 × 4,431.61
  4. Step 4: Simplify right side
    7,787.98x = 47,626,379.72
  5. Step 5: Solve for x
    x = 47,626,379.72/7,787.98
  6. Step 6: Final answer
    x = 6,115.37

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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.