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Finding the Fourth Proportional to 10,228.90, 15,345.82 and 3,564.42

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Solution

The fourth proportional to 10,228.90, 15,345.82 and 3,564.42 is: 5,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.90 : 15,345.82 = 3,564.42 : x
  2. Step 2: Convert to fraction form
    10,228.90/15,345.82 = 3,564.42/x
  3. Step 3: Cross multiply
    10,228.90x = 15,345.82 × 3,564.42
  4. Step 4: Simplify right side
    10,228.90x = 54,698,947.72
  5. Step 5: Solve for x
    x = 54,698,947.72/10,228.90
  6. Step 6: Final answer
    x = 5,347.49

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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.