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Finding the Fourth Proportional to 7,834.55, 10,812.17 and 4,297.77

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Solution

The fourth proportional to 7,834.55, 10,812.17 and 4,297.77 is: 5,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.55 : 10,812.17 = 4,297.77 : x
  2. Step 2: Convert to fraction form
    7,834.55/10,812.17 = 4,297.77/x
  3. Step 3: Cross multiply
    7,834.55x = 10,812.17 × 4,297.77
  4. Step 4: Simplify right side
    7,834.55x = 46,468,230.61
  5. Step 5: Solve for x
    x = 46,468,230.61/7,834.55
  6. Step 6: Final answer
    x = 5,931.19

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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.