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Finding the Fourth Proportional to 7,777.98, 11,667 and 1,934.58

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Solution

The fourth proportional to 7,777.98, 11,667 and 1,934.58 is: 2,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.98 : 11,667 = 1,934.58 : x
  2. Step 2: Convert to fraction form
    7,777.98/11,667 = 1,934.58/x
  3. Step 3: Cross multiply
    7,777.98x = 11,667 × 1,934.58
  4. Step 4: Simplify right side
    7,777.98x = 22,570,744.86
  5. Step 5: Solve for x
    x = 22,570,744.86/7,777.98
  6. Step 6: Final answer
    x = 2,901.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.