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Finding the Fourth Proportional to 7,850.79, 10,834.29 and 4,314.33

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Solution

The fourth proportional to 7,850.79, 10,834.29 and 4,314.33 is: 5,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.79 : 10,834.29 = 4,314.33 : x
  2. Step 2: Convert to fraction form
    7,850.79/10,834.29 = 4,314.33/x
  3. Step 3: Cross multiply
    7,850.79x = 10,834.29 × 4,314.33
  4. Step 4: Simplify right side
    7,850.79x = 46,742,702.38
  5. Step 5: Solve for x
    x = 46,742,702.38/7,850.79
  6. Step 6: Final answer
    x = 5,953.89

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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.