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Finding the Fourth Proportional to 10,125.72, 13,972.26 and 5,649.72

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Solution

The fourth proportional to 10,125.72, 13,972.26 and 5,649.72 is: 7,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.72 : 13,972.26 = 5,649.72 : x
  2. Step 2: Convert to fraction form
    10,125.72/13,972.26 = 5,649.72/x
  3. Step 3: Cross multiply
    10,125.72x = 13,972.26 × 5,649.72
  4. Step 4: Simplify right side
    10,125.72x = 78,939,356.77
  5. Step 5: Solve for x
    x = 78,939,356.77/10,125.72
  6. Step 6: Final answer
    x = 7,795.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.