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Finding the Fourth Proportional to 8,011.40, 11,054.93 and 4,474.53

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Solution

The fourth proportional to 8,011.40, 11,054.93 and 4,474.53 is: 6,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.40 : 11,054.93 = 4,474.53 : x
  2. Step 2: Convert to fraction form
    8,011.40/11,054.93 = 4,474.53/x
  3. Step 3: Cross multiply
    8,011.40x = 11,054.93 × 4,474.53
  4. Step 4: Simplify right side
    8,011.40x = 49,465,593.56
  5. Step 5: Solve for x
    x = 49,465,593.56/8,011.40
  6. Step 6: Final answer
    x = 6,174.40

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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.