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Finding the Fourth Proportional to 7,922.52, 11,888.52 and 3,177.84

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Solution

The fourth proportional to 7,922.52, 11,888.52 and 3,177.84 is: 4,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.52 : 11,888.52 = 3,177.84 : x
  2. Step 2: Convert to fraction form
    7,922.52/11,888.52 = 3,177.84/x
  3. Step 3: Cross multiply
    7,922.52x = 11,888.52 × 3,177.84
  4. Step 4: Simplify right side
    7,922.52x = 37,779,814.40
  5. Step 5: Solve for x
    x = 37,779,814.40/7,922.52
  6. Step 6: Final answer
    x = 4,768.66

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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.