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Finding the Fourth Proportional to 7,006.95, 10,513.49 and 3,883.19

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Solution

The fourth proportional to 7,006.95, 10,513.49 and 3,883.19 is: 5,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.95 : 10,513.49 = 3,883.19 : x
  2. Step 2: Convert to fraction form
    7,006.95/10,513.49 = 3,883.19/x
  3. Step 3: Cross multiply
    7,006.95x = 10,513.49 × 3,883.19
  4. Step 4: Simplify right side
    7,006.95x = 40,825,807.25
  5. Step 5: Solve for x
    x = 40,825,807.25/7,006.95
  6. Step 6: Final answer
    x = 5,826.47

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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.