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Finding the Fourth Proportional to 8,777.98, 13,167 and 2,538.50

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Solution

The fourth proportional to 8,777.98, 13,167 and 2,538.50 is: 3,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.98 : 13,167 = 2,538.50 : x
  2. Step 2: Convert to fraction form
    8,777.98/13,167 = 2,538.50/x
  3. Step 3: Cross multiply
    8,777.98x = 13,167 × 2,538.50
  4. Step 4: Simplify right side
    8,777.98x = 33,424,429.50
  5. Step 5: Solve for x
    x = 33,424,429.50/8,777.98
  6. Step 6: Final answer
    x = 3,807.76

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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.