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Finding the Fourth Proportional to 7,834.76, 10,811.98 and 4,298.00

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Solution

The fourth proportional to 7,834.76, 10,811.98 and 4,298.00 is: 5,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.76 : 10,811.98 = 4,298.00 : x
  2. Step 2: Convert to fraction form
    7,834.76/10,811.98 = 4,298.00/x
  3. Step 3: Cross multiply
    7,834.76x = 10,811.98 × 4,298.00
  4. Step 4: Simplify right side
    7,834.76x = 46,469,825.24
  5. Step 5: Solve for x
    x = 46,469,825.24/7,834.76
  6. Step 6: Final answer
    x = 5,931.24

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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.