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Finding the Fourth Proportional to 7,834.96, 10,812.23 and 4,298.23

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Solution

The fourth proportional to 7,834.96, 10,812.23 and 4,298.23 is: 5,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.96 : 10,812.23 = 4,298.23 : x
  2. Step 2: Convert to fraction form
    7,834.96/10,812.23 = 4,298.23/x
  3. Step 3: Cross multiply
    7,834.96x = 10,812.23 × 4,298.23
  4. Step 4: Simplify right side
    7,834.96x = 46,473,451.35
  5. Step 5: Solve for x
    x = 46,473,451.35/7,834.96
  6. Step 6: Final answer
    x = 5,931.55

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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.