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Finding the Fourth Proportional to 10,502.93, 15,749.04 and 3,480.44

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Solution

The fourth proportional to 10,502.93, 15,749.04 and 3,480.44 is: 5,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.93 : 15,749.04 = 3,480.44 : x
  2. Step 2: Convert to fraction form
    10,502.93/15,749.04 = 3,480.44/x
  3. Step 3: Cross multiply
    10,502.93x = 15,749.04 × 3,480.44
  4. Step 4: Simplify right side
    10,502.93x = 54,813,646.18
  5. Step 5: Solve for x
    x = 54,813,646.18/10,502.93
  6. Step 6: Final answer
    x = 5,218.89

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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.