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Finding the Fourth Proportional to 10,429.26, 15,612.45 and 6,724.11

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Solution

The fourth proportional to 10,429.26, 15,612.45 and 6,724.11 is: 10,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.26 : 15,612.45 = 6,724.11 : x
  2. Step 2: Convert to fraction form
    10,429.26/15,612.45 = 6,724.11/x
  3. Step 3: Cross multiply
    10,429.26x = 15,612.45 × 6,724.11
  4. Step 4: Simplify right side
    10,429.26x = 104,979,864.50
  5. Step 5: Solve for x
    x = 104,979,864.50/10,429.26
  6. Step 6: Final answer
    x = 10,065.90

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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.