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Finding the Fourth Proportional to 11,433.03, 15,780.05 and 6,958.22

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Solution

The fourth proportional to 11,433.03, 15,780.05 and 6,958.22 is: 9,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.03 : 15,780.05 = 6,958.22 : x
  2. Step 2: Convert to fraction form
    11,433.03/15,780.05 = 6,958.22/x
  3. Step 3: Cross multiply
    11,433.03x = 15,780.05 × 6,958.22
  4. Step 4: Simplify right side
    11,433.03x = 109,801,024.72
  5. Step 5: Solve for x
    x = 109,801,024.72/11,433.03
  6. Step 6: Final answer
    x = 9,603.84

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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.