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Finding the Fourth Proportional to 10,323.82, 15,487.47 and 4,774.90

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Solution

The fourth proportional to 10,323.82, 15,487.47 and 4,774.90 is: 7,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.82 : 15,487.47 = 4,774.90 : x
  2. Step 2: Convert to fraction form
    10,323.82/15,487.47 = 4,774.90/x
  3. Step 3: Cross multiply
    10,323.82x = 15,487.47 × 4,774.90
  4. Step 4: Simplify right side
    10,323.82x = 73,951,120.50
  5. Step 5: Solve for x
    x = 73,951,120.50/10,323.82
  6. Step 6: Final answer
    x = 7,163.15

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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.