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Finding the Fourth Proportional to 7,304.38, 10,088.21 and 4,942.42

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Solution

The fourth proportional to 7,304.38, 10,088.21 and 4,942.42 is: 6,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.38 : 10,088.21 = 4,942.42 : x
  2. Step 2: Convert to fraction form
    7,304.38/10,088.21 = 4,942.42/x
  3. Step 3: Cross multiply
    7,304.38x = 10,088.21 × 4,942.42
  4. Step 4: Simplify right side
    7,304.38x = 49,860,158.00
  5. Step 5: Solve for x
    x = 49,860,158.00/7,304.38
  6. Step 6: Final answer
    x = 6,826.07

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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.