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Finding the Fourth Proportional to 7,274.54, 10,032.05 and 5,787.38

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Solution

The fourth proportional to 7,274.54, 10,032.05 and 5,787.38 is: 7,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.54 : 10,032.05 = 5,787.38 : x
  2. Step 2: Convert to fraction form
    7,274.54/10,032.05 = 5,787.38/x
  3. Step 3: Cross multiply
    7,274.54x = 10,032.05 × 5,787.38
  4. Step 4: Simplify right side
    7,274.54x = 58,059,325.08
  5. Step 5: Solve for x
    x = 58,059,325.08/7,274.54
  6. Step 6: Final answer
    x = 7,981.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.