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Finding the Fourth Proportional to 7,442.84, 10,270.38 and 4,300.04

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Solution

The fourth proportional to 7,442.84, 10,270.38 and 4,300.04 is: 5,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.84 : 10,270.38 = 4,300.04 : x
  2. Step 2: Convert to fraction form
    7,442.84/10,270.38 = 4,300.04/x
  3. Step 3: Cross multiply
    7,442.84x = 10,270.38 × 4,300.04
  4. Step 4: Simplify right side
    7,442.84x = 44,163,044.82
  5. Step 5: Solve for x
    x = 44,163,044.82/7,442.84
  6. Step 6: Final answer
    x = 5,933.63

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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.