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Finding the Fourth Proportional to 7,173.65, 9,899.64 and 4,029.86

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Solution

The fourth proportional to 7,173.65, 9,899.64 and 4,029.86 is: 5,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.65 : 9,899.64 = 4,029.86 : x
  2. Step 2: Convert to fraction form
    7,173.65/9,899.64 = 4,029.86/x
  3. Step 3: Cross multiply
    7,173.65x = 9,899.64 × 4,029.86
  4. Step 4: Simplify right side
    7,173.65x = 39,894,113.75
  5. Step 5: Solve for x
    x = 39,894,113.75/7,173.65
  6. Step 6: Final answer
    x = 5,561.21

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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.