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Finding the Fourth Proportional to 12,277.40, 16,938.37 and 8,030.88

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Solution

The fourth proportional to 12,277.40, 16,938.37 and 8,030.88 is: 11,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.40 : 16,938.37 = 8,030.88 : x
  2. Step 2: Convert to fraction form
    12,277.40/16,938.37 = 8,030.88/x
  3. Step 3: Cross multiply
    12,277.40x = 16,938.37 × 8,030.88
  4. Step 4: Simplify right side
    12,277.40x = 136,029,981.73
  5. Step 5: Solve for x
    x = 136,029,981.73/12,277.40
  6. Step 6: Final answer
    x = 11,079.71

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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.