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Finding the Fourth Proportional to 10,578.11, 14,599.31 and 6,100.97

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Solution

The fourth proportional to 10,578.11, 14,599.31 and 6,100.97 is: 8,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.11 : 14,599.31 = 6,100.97 : x
  2. Step 2: Convert to fraction form
    10,578.11/14,599.31 = 6,100.97/x
  3. Step 3: Cross multiply
    10,578.11x = 14,599.31 × 6,100.97
  4. Step 4: Simplify right side
    10,578.11x = 89,069,848.83
  5. Step 5: Solve for x
    x = 89,069,848.83/10,578.11
  6. Step 6: Final answer
    x = 8,420.21

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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.