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Finding the Fourth Proportional to 7,094.52, 10,643.84 and 2,933.76

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Solution

The fourth proportional to 7,094.52, 10,643.84 and 2,933.76 is: 4,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.52 : 10,643.84 = 2,933.76 : x
  2. Step 2: Convert to fraction form
    7,094.52/10,643.84 = 2,933.76/x
  3. Step 3: Cross multiply
    7,094.52x = 10,643.84 × 2,933.76
  4. Step 4: Simplify right side
    7,094.52x = 31,226,472.04
  5. Step 5: Solve for x
    x = 31,226,472.04/7,094.52
  6. Step 6: Final answer
    x = 4,401.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.