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Finding the Fourth Proportional to 10,817.49, 14,922.93 and 6,338.46

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Solution

The fourth proportional to 10,817.49, 14,922.93 and 6,338.46 is: 8,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.49 : 14,922.93 = 6,338.46 : x
  2. Step 2: Convert to fraction form
    10,817.49/14,922.93 = 6,338.46/x
  3. Step 3: Cross multiply
    10,817.49x = 14,922.93 × 6,338.46
  4. Step 4: Simplify right side
    10,817.49x = 94,588,394.89
  5. Step 5: Solve for x
    x = 94,588,394.89/10,817.49
  6. Step 6: Final answer
    x = 8,744.02

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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.