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Finding the Fourth Proportional to 7,105.29, 10,645.16 and 4,182.00

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Solution

The fourth proportional to 7,105.29, 10,645.16 and 4,182.00 is: 6,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.29 : 10,645.16 = 4,182.00 : x
  2. Step 2: Convert to fraction form
    7,105.29/10,645.16 = 4,182.00/x
  3. Step 3: Cross multiply
    7,105.29x = 10,645.16 × 4,182.00
  4. Step 4: Simplify right side
    7,105.29x = 44,517,984.98
  5. Step 5: Solve for x
    x = 44,517,984.98/7,105.29
  6. Step 6: Final answer
    x = 6,265.47

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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.