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Finding the Fourth Proportional to 10,036.49, 13,852.65 and 6,679.44

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Solution

The fourth proportional to 10,036.49, 13,852.65 and 6,679.44 is: 9,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.49 : 13,852.65 = 6,679.44 : x
  2. Step 2: Convert to fraction form
    10,036.49/13,852.65 = 6,679.44/x
  3. Step 3: Cross multiply
    10,036.49x = 13,852.65 × 6,679.44
  4. Step 4: Simplify right side
    10,036.49x = 92,527,944.52
  5. Step 5: Solve for x
    x = 92,527,944.52/10,036.49
  6. Step 6: Final answer
    x = 9,219.16

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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.