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Finding the Fourth Proportional to 7,110.52, 9,811.74 and 5,011

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Solution

The fourth proportional to 7,110.52, 9,811.74 and 5,011 is: 6,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.52 : 9,811.74 = 5,011 : x
  2. Step 2: Convert to fraction form
    7,110.52/9,811.74 = 5,011/x
  3. Step 3: Cross multiply
    7,110.52x = 9,811.74 × 5,011
  4. Step 4: Simplify right side
    7,110.52x = 49,166,629.14
  5. Step 5: Solve for x
    x = 49,166,629.14/7,110.52
  6. Step 6: Final answer
    x = 6,914.63

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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.