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Finding the Fourth Proportional to 10,564.52, 15,847.02 and 5,914.22

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Solution

The fourth proportional to 10,564.52, 15,847.02 and 5,914.22 is: 8,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.52 : 15,847.02 = 5,914.22 : x
  2. Step 2: Convert to fraction form
    10,564.52/15,847.02 = 5,914.22/x
  3. Step 3: Cross multiply
    10,564.52x = 15,847.02 × 5,914.22
  4. Step 4: Simplify right side
    10,564.52x = 93,722,762.62
  5. Step 5: Solve for x
    x = 93,722,762.62/10,564.52
  6. Step 6: Final answer
    x = 8,871.46

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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.