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Finding the Fourth Proportional to 10,440.72, 15,663.48 and 3,420.68

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Solution

The fourth proportional to 10,440.72, 15,663.48 and 3,420.68 is: 5,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.72 : 15,663.48 = 3,420.68 : x
  2. Step 2: Convert to fraction form
    10,440.72/15,663.48 = 3,420.68/x
  3. Step 3: Cross multiply
    10,440.72x = 15,663.48 × 3,420.68
  4. Step 4: Simplify right side
    10,440.72x = 53,579,752.77
  5. Step 5: Solve for x
    x = 53,579,752.77/10,440.72
  6. Step 6: Final answer
    x = 5,131.81

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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.