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Finding the Fourth Proportional to 7,834.61, 10,811.73 and 4,298.05

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Solution

The fourth proportional to 7,834.61, 10,811.73 and 4,298.05 is: 5,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.61 : 10,811.73 = 4,298.05 : x
  2. Step 2: Convert to fraction form
    7,834.61/10,811.73 = 4,298.05/x
  3. Step 3: Cross multiply
    7,834.61x = 10,811.73 × 4,298.05
  4. Step 4: Simplify right side
    7,834.61x = 46,469,356.13
  5. Step 5: Solve for x
    x = 46,469,356.13/7,834.61
  6. Step 6: Final answer
    x = 5,931.29

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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.