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Finding the Fourth Proportional to 7,143.75, 10,718.87 and 3,445.29

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Solution

The fourth proportional to 7,143.75, 10,718.87 and 3,445.29 is: 5,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.75 : 10,718.87 = 3,445.29 : x
  2. Step 2: Convert to fraction form
    7,143.75/10,718.87 = 3,445.29/x
  3. Step 3: Cross multiply
    7,143.75x = 10,718.87 × 3,445.29
  4. Step 4: Simplify right side
    7,143.75x = 36,929,598.40
  5. Step 5: Solve for x
    x = 36,929,598.40/7,143.75
  6. Step 6: Final answer
    x = 5,169.50

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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.