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Finding the Fourth Proportional to 10,010.62, 13,820.28 and 6,658

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Solution

The fourth proportional to 10,010.62, 13,820.28 and 6,658 is: 9,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.62 : 13,820.28 = 6,658 : x
  2. Step 2: Convert to fraction form
    10,010.62/13,820.28 = 6,658/x
  3. Step 3: Cross multiply
    10,010.62x = 13,820.28 × 6,658
  4. Step 4: Simplify right side
    10,010.62x = 92,015,424.24
  5. Step 5: Solve for x
    x = 92,015,424.24/10,010.62
  6. Step 6: Final answer
    x = 9,191.78

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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.