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Finding the Fourth Proportional to 7,851.12, 10,834.53 and 4,314.33

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Solution

The fourth proportional to 7,851.12, 10,834.53 and 4,314.33 is: 5,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.12 : 10,834.53 = 4,314.33 : x
  2. Step 2: Convert to fraction form
    7,851.12/10,834.53 = 4,314.33/x
  3. Step 3: Cross multiply
    7,851.12x = 10,834.53 × 4,314.33
  4. Step 4: Simplify right side
    7,851.12x = 46,743,737.81
  5. Step 5: Solve for x
    x = 46,743,737.81/7,851.12
  6. Step 6: Final answer
    x = 5,953.77

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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.