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Finding the Fourth Proportional to 10,804.59, 14,910.34 and 6,024.97

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Solution

The fourth proportional to 10,804.59, 14,910.34 and 6,024.97 is: 8,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.59 : 14,910.34 = 6,024.97 : x
  2. Step 2: Convert to fraction form
    10,804.59/14,910.34 = 6,024.97/x
  3. Step 3: Cross multiply
    10,804.59x = 14,910.34 × 6,024.97
  4. Step 4: Simplify right side
    10,804.59x = 89,834,351.19
  5. Step 5: Solve for x
    x = 89,834,351.19/10,804.59
  6. Step 6: Final answer
    x = 8,314.46

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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.