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Finding the Fourth Proportional to 11,777.36, 16,251 and 6,472.40

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Solution

The fourth proportional to 11,777.36, 16,251 and 6,472.40 is: 8,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.36 : 16,251 = 6,472.40 : x
  2. Step 2: Convert to fraction form
    11,777.36/16,251 = 6,472.40/x
  3. Step 3: Cross multiply
    11,777.36x = 16,251 × 6,472.40
  4. Step 4: Simplify right side
    11,777.36x = 105,182,972.40
  5. Step 5: Solve for x
    x = 105,182,972.40/11,777.36
  6. Step 6: Final answer
    x = 8,930.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.