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Finding the Fourth Proportional to 10,267.34, 15,402.38 and 3,602.25

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Solution

The fourth proportional to 10,267.34, 15,402.38 and 3,602.25 is: 5,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.34 : 15,402.38 = 3,602.25 : x
  2. Step 2: Convert to fraction form
    10,267.34/15,402.38 = 3,602.25/x
  3. Step 3: Cross multiply
    10,267.34x = 15,402.38 × 3,602.25
  4. Step 4: Simplify right side
    10,267.34x = 55,483,205.34
  5. Step 5: Solve for x
    x = 55,483,205.34/10,267.34
  6. Step 6: Final answer
    x = 5,403.86

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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.