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Finding the Fourth Proportional to 7,838.43, 11,745.82 and 4,715.02

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Solution

The fourth proportional to 7,838.43, 11,745.82 and 4,715.02 is: 7,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.43 : 11,745.82 = 4,715.02 : x
  2. Step 2: Convert to fraction form
    7,838.43/11,745.82 = 4,715.02/x
  3. Step 3: Cross multiply
    7,838.43x = 11,745.82 × 4,715.02
  4. Step 4: Simplify right side
    7,838.43x = 55,381,776.22
  5. Step 5: Solve for x
    x = 55,381,776.22/7,838.43
  6. Step 6: Final answer
    x = 7,065.42

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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.