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Finding the Fourth Proportional to 10,598.31, 14,626.82 and 6,061.41

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Solution

The fourth proportional to 10,598.31, 14,626.82 and 6,061.41 is: 8,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.31 : 14,626.82 = 6,061.41 : x
  2. Step 2: Convert to fraction form
    10,598.31/14,626.82 = 6,061.41/x
  3. Step 3: Cross multiply
    10,598.31x = 14,626.82 × 6,061.41
  4. Step 4: Simplify right side
    10,598.31x = 88,659,135.56
  5. Step 5: Solve for x
    x = 88,659,135.56/10,598.31
  6. Step 6: Final answer
    x = 8,365.41

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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.