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Finding the Fourth Proportional to 10,009.74, 15,007.29 and 4,819.26

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Solution

The fourth proportional to 10,009.74, 15,007.29 and 4,819.26 is: 7,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.74 : 15,007.29 = 4,819.26 : x
  2. Step 2: Convert to fraction form
    10,009.74/15,007.29 = 4,819.26/x
  3. Step 3: Cross multiply
    10,009.74x = 15,007.29 × 4,819.26
  4. Step 4: Simplify right side
    10,009.74x = 72,324,032.41
  5. Step 5: Solve for x
    x = 72,324,032.41/10,009.74
  6. Step 6: Final answer
    x = 7,225.37

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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.