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Finding the Fourth Proportional to 7,113.50, 10,684.09 and 5,798.22

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Solution

The fourth proportional to 7,113.50, 10,684.09 and 5,798.22 is: 8,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.50 : 10,684.09 = 5,798.22 : x
  2. Step 2: Convert to fraction form
    7,113.50/10,684.09 = 5,798.22/x
  3. Step 3: Cross multiply
    7,113.50x = 10,684.09 × 5,798.22
  4. Step 4: Simplify right side
    7,113.50x = 61,948,689.82
  5. Step 5: Solve for x
    x = 61,948,689.82/7,113.50
  6. Step 6: Final answer
    x = 8,708.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.