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Finding the Fourth Proportional to 10,007.16, 15,010.20 and 5,076.67

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Solution

The fourth proportional to 10,007.16, 15,010.20 and 5,076.67 is: 7,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.16 : 15,010.20 = 5,076.67 : x
  2. Step 2: Convert to fraction form
    10,007.16/15,010.20 = 5,076.67/x
  3. Step 3: Cross multiply
    10,007.16x = 15,010.20 × 5,076.67
  4. Step 4: Simplify right side
    10,007.16x = 76,201,788.90
  5. Step 5: Solve for x
    x = 76,201,788.90/10,007.16
  6. Step 6: Final answer
    x = 7,614.73

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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.