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Finding the Fourth Proportional to 10,474.76, 15,709.86 and 3,721.25

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Solution

The fourth proportional to 10,474.76, 15,709.86 and 3,721.25 is: 5,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.76 : 15,709.86 = 3,721.25 : x
  2. Step 2: Convert to fraction form
    10,474.76/15,709.86 = 3,721.25/x
  3. Step 3: Cross multiply
    10,474.76x = 15,709.86 × 3,721.25
  4. Step 4: Simplify right side
    10,474.76x = 58,460,316.53
  5. Step 5: Solve for x
    x = 58,460,316.53/10,474.76
  6. Step 6: Final answer
    x = 5,581.07

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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.