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Finding the Fourth Proportional to 10,683.52, 16,025.52 and 3,663.46

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Solution

The fourth proportional to 10,683.52, 16,025.52 and 3,663.46 is: 5,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.52 : 16,025.52 = 3,663.46 : x
  2. Step 2: Convert to fraction form
    10,683.52/16,025.52 = 3,663.46/x
  3. Step 3: Cross multiply
    10,683.52x = 16,025.52 × 3,663.46
  4. Step 4: Simplify right side
    10,683.52x = 58,708,851.50
  5. Step 5: Solve for x
    x = 58,708,851.50/10,683.52
  6. Step 6: Final answer
    x = 5,495.27

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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.