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Finding the Fourth Proportional to 10,105.91, 15,152.01 and 3,528.50

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Solution

The fourth proportional to 10,105.91, 15,152.01 and 3,528.50 is: 5,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.91 : 15,152.01 = 3,528.50 : x
  2. Step 2: Convert to fraction form
    10,105.91/15,152.01 = 3,528.50/x
  3. Step 3: Cross multiply
    10,105.91x = 15,152.01 × 3,528.50
  4. Step 4: Simplify right side
    10,105.91x = 53,463,867.29
  5. Step 5: Solve for x
    x = 53,463,867.29/10,105.91
  6. Step 6: Final answer
    x = 5,290.36

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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.