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Finding the Fourth Proportional to 10,005.50, 15,003.54 and 5,846.71

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Solution

The fourth proportional to 10,005.50, 15,003.54 and 5,846.71 is: 8,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.50 : 15,003.54 = 5,846.71 : x
  2. Step 2: Convert to fraction form
    10,005.50/15,003.54 = 5,846.71/x
  3. Step 3: Cross multiply
    10,005.50x = 15,003.54 × 5,846.71
  4. Step 4: Simplify right side
    10,005.50x = 87,721,280.61
  5. Step 5: Solve for x
    x = 87,721,280.61/10,005.50
  6. Step 6: Final answer
    x = 8,767.31

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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.