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Finding the Fourth Proportional to 10,101.09, 15,154.72 and 5,174.21

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Solution

The fourth proportional to 10,101.09, 15,154.72 and 5,174.21 is: 7,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.09 : 15,154.72 = 5,174.21 : x
  2. Step 2: Convert to fraction form
    10,101.09/15,154.72 = 5,174.21/x
  3. Step 3: Cross multiply
    10,101.09x = 15,154.72 × 5,174.21
  4. Step 4: Simplify right side
    10,101.09x = 78,413,703.77
  5. Step 5: Solve for x
    x = 78,413,703.77/10,101.09
  6. Step 6: Final answer
    x = 7,762.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.