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Finding the Fourth Proportional to 11,380.03, 15,695.54 and 7,402.42

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Solution

The fourth proportional to 11,380.03, 15,695.54 and 7,402.42 is: 10,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.03 : 15,695.54 = 7,402.42 : x
  2. Step 2: Convert to fraction form
    11,380.03/15,695.54 = 7,402.42/x
  3. Step 3: Cross multiply
    11,380.03x = 15,695.54 × 7,402.42
  4. Step 4: Simplify right side
    11,380.03x = 116,184,919.24
  5. Step 5: Solve for x
    x = 116,184,919.24/11,380.03
  6. Step 6: Final answer
    x = 10,209.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.