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Finding the Fourth Proportional to 7,834.65, 10,813.83 and 4,848.72

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Solution

The fourth proportional to 7,834.65, 10,813.83 and 4,848.72 is: 6,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.65 : 10,813.83 = 4,848.72 : x
  2. Step 2: Convert to fraction form
    7,834.65/10,813.83 = 4,848.72/x
  3. Step 3: Cross multiply
    7,834.65x = 10,813.83 × 4,848.72
  4. Step 4: Simplify right side
    7,834.65x = 52,433,233.80
  5. Step 5: Solve for x
    x = 52,433,233.80/7,834.65
  6. Step 6: Final answer
    x = 6,692.48

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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.