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Finding the Fourth Proportional to 7,811.54, 10,781.74 and 4,787.58

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Solution

The fourth proportional to 7,811.54, 10,781.74 and 4,787.58 is: 6,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.54 : 10,781.74 = 4,787.58 : x
  2. Step 2: Convert to fraction form
    7,811.54/10,781.74 = 4,787.58/x
  3. Step 3: Cross multiply
    7,811.54x = 10,781.74 × 4,787.58
  4. Step 4: Simplify right side
    7,811.54x = 51,618,442.79
  5. Step 5: Solve for x
    x = 51,618,442.79/7,811.54
  6. Step 6: Final answer
    x = 6,607.97

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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.