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Finding the Fourth Proportional to 10,820.36, 16,217.52 and 7,073.90

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Solution

The fourth proportional to 10,820.36, 16,217.52 and 7,073.90 is: 10,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.36 : 16,217.52 = 7,073.90 : x
  2. Step 2: Convert to fraction form
    10,820.36/16,217.52 = 7,073.90/x
  3. Step 3: Cross multiply
    10,820.36x = 16,217.52 × 7,073.90
  4. Step 4: Simplify right side
    10,820.36x = 114,721,114.73
  5. Step 5: Solve for x
    x = 114,721,114.73/10,820.36
  6. Step 6: Final answer
    x = 10,602.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.