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Finding the Fourth Proportional to 10,356.96, 15,538 and 3,337.56

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Solution

The fourth proportional to 10,356.96, 15,538 and 3,337.56 is: 5,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.96 : 15,538 = 3,337.56 : x
  2. Step 2: Convert to fraction form
    10,356.96/15,538 = 3,337.56/x
  3. Step 3: Cross multiply
    10,356.96x = 15,538 × 3,337.56
  4. Step 4: Simplify right side
    10,356.96x = 51,859,007.28
  5. Step 5: Solve for x
    x = 51,859,007.28/10,356.96
  6. Step 6: Final answer
    x = 5,007.16

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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.