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Finding the Fourth Proportional to 7,946.54, 11,922.38 and 4,787.40

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Solution

The fourth proportional to 7,946.54, 11,922.38 and 4,787.40 is: 7,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.54 : 11,922.38 = 4,787.40 : x
  2. Step 2: Convert to fraction form
    7,946.54/11,922.38 = 4,787.40/x
  3. Step 3: Cross multiply
    7,946.54x = 11,922.38 × 4,787.40
  4. Step 4: Simplify right side
    7,946.54x = 57,077,240.74
  5. Step 5: Solve for x
    x = 57,077,240.74/7,946.54
  6. Step 6: Final answer
    x = 7,182.65

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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.