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Finding the Fourth Proportional to 10,947.83, 15,103.50 and 8,083.40

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Solution

The fourth proportional to 10,947.83, 15,103.50 and 8,083.40 is: 11,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.83 : 15,103.50 = 8,083.40 : x
  2. Step 2: Convert to fraction form
    10,947.83/15,103.50 = 8,083.40/x
  3. Step 3: Cross multiply
    10,947.83x = 15,103.50 × 8,083.40
  4. Step 4: Simplify right side
    10,947.83x = 122,087,526.07
  5. Step 5: Solve for x
    x = 122,087,526.07/10,947.83
  6. Step 6: Final answer
    x = 11,151.76

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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.