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Finding the Fourth Proportional to 7,751.88, 10,702.53 and 5,103.86

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Solution

The fourth proportional to 7,751.88, 10,702.53 and 5,103.86 is: 7,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.88 : 10,702.53 = 5,103.86 : x
  2. Step 2: Convert to fraction form
    7,751.88/10,702.53 = 5,103.86/x
  3. Step 3: Cross multiply
    7,751.88x = 10,702.53 × 5,103.86
  4. Step 4: Simplify right side
    7,751.88x = 54,624,161.25
  5. Step 5: Solve for x
    x = 54,624,161.25/7,751.88
  6. Step 6: Final answer
    x = 7,046.57

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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.