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Finding the Fourth Proportional to 7,551.38, 10,420.76 and 4,194.05

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Solution

The fourth proportional to 7,551.38, 10,420.76 and 4,194.05 is: 5,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.38 : 10,420.76 = 4,194.05 : x
  2. Step 2: Convert to fraction form
    7,551.38/10,420.76 = 4,194.05/x
  3. Step 3: Cross multiply
    7,551.38x = 10,420.76 × 4,194.05
  4. Step 4: Simplify right side
    7,551.38x = 43,705,146.86
  5. Step 5: Solve for x
    x = 43,705,146.86/7,551.38
  6. Step 6: Final answer
    x = 5,787.70

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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.