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Finding the Fourth Proportional to 7,193.66, 10,790.50 and 4,113.50

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Solution

The fourth proportional to 7,193.66, 10,790.50 and 4,113.50 is: 6,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.66 : 10,790.50 = 4,113.50 : x
  2. Step 2: Convert to fraction form
    7,193.66/10,790.50 = 4,113.50/x
  3. Step 3: Cross multiply
    7,193.66x = 10,790.50 × 4,113.50
  4. Step 4: Simplify right side
    7,193.66x = 44,386,721.75
  5. Step 5: Solve for x
    x = 44,386,721.75/7,193.66
  6. Step 6: Final answer
    x = 6,170.26

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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.