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Finding the Fourth Proportional to 10,411.03, 15,631.19 and 6,033.38

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Solution

The fourth proportional to 10,411.03, 15,631.19 and 6,033.38 is: 9,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.03 : 15,631.19 = 6,033.38 : x
  2. Step 2: Convert to fraction form
    10,411.03/15,631.19 = 6,033.38/x
  3. Step 3: Cross multiply
    10,411.03x = 15,631.19 × 6,033.38
  4. Step 4: Simplify right side
    10,411.03x = 94,308,878.96
  5. Step 5: Solve for x
    x = 94,308,878.96/10,411.03
  6. Step 6: Final answer
    x = 9,058.56

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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.