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Finding the Fourth Proportional to 7,160.85, 9,879.06 and 5,167.02

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Solution

The fourth proportional to 7,160.85, 9,879.06 and 5,167.02 is: 7,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.85 : 9,879.06 = 5,167.02 : x
  2. Step 2: Convert to fraction form
    7,160.85/9,879.06 = 5,167.02/x
  3. Step 3: Cross multiply
    7,160.85x = 9,879.06 × 5,167.02
  4. Step 4: Simplify right side
    7,160.85x = 51,045,300.60
  5. Step 5: Solve for x
    x = 51,045,300.60/7,160.85
  6. Step 6: Final answer
    x = 7,128.39

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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.