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Finding the Fourth Proportional to 8,011.53, 11,055.64 and 4,474.66

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Solution

The fourth proportional to 8,011.53, 11,055.64 and 4,474.66 is: 6,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.53 : 11,055.64 = 4,474.66 : x
  2. Step 2: Convert to fraction form
    8,011.53/11,055.64 = 4,474.66/x
  3. Step 3: Cross multiply
    8,011.53x = 11,055.64 × 4,474.66
  4. Step 4: Simplify right side
    8,011.53x = 49,470,230.08
  5. Step 5: Solve for x
    x = 49,470,230.08/8,011.53
  6. Step 6: Final answer
    x = 6,174.88

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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.