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Finding the Fourth Proportional to 7,602.48, 11,402.91 and 2,408.76

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Solution

The fourth proportional to 7,602.48, 11,402.91 and 2,408.76 is: 3,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.48 : 11,402.91 = 2,408.76 : x
  2. Step 2: Convert to fraction form
    7,602.48/11,402.91 = 2,408.76/x
  3. Step 3: Cross multiply
    7,602.48x = 11,402.91 × 2,408.76
  4. Step 4: Simplify right side
    7,602.48x = 27,466,873.49
  5. Step 5: Solve for x
    x = 27,466,873.49/7,602.48
  6. Step 6: Final answer
    x = 3,612.88

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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.