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Finding the Fourth Proportional to 10,005.22, 15,007.42 and 2,609.74

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Solution

The fourth proportional to 10,005.22, 15,007.42 and 2,609.74 is: 3,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.22 : 15,007.42 = 2,609.74 : x
  2. Step 2: Convert to fraction form
    10,005.22/15,007.42 = 2,609.74/x
  3. Step 3: Cross multiply
    10,005.22x = 15,007.42 × 2,609.74
  4. Step 4: Simplify right side
    10,005.22x = 39,165,464.27
  5. Step 5: Solve for x
    x = 39,165,464.27/10,005.22
  6. Step 6: Final answer
    x = 3,914.50

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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.