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Finding the Fourth Proportional to 7,851.02, 10,834.11 and 4,314.02

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Solution

The fourth proportional to 7,851.02, 10,834.11 and 4,314.02 is: 5,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.02 : 10,834.11 = 4,314.02 : x
  2. Step 2: Convert to fraction form
    7,851.02/10,834.11 = 4,314.02/x
  3. Step 3: Cross multiply
    7,851.02x = 10,834.11 × 4,314.02
  4. Step 4: Simplify right side
    7,851.02x = 46,738,513.05
  5. Step 5: Solve for x
    x = 46,738,513.05/7,851.02
  6. Step 6: Final answer
    x = 5,953.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.