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Finding the Fourth Proportional to 10,729.44, 14,805.54 and 6,014.16

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Solution

The fourth proportional to 10,729.44, 14,805.54 and 6,014.16 is: 8,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.44 : 14,805.54 = 6,014.16 : x
  2. Step 2: Convert to fraction form
    10,729.44/14,805.54 = 6,014.16/x
  3. Step 3: Cross multiply
    10,729.44x = 14,805.54 × 6,014.16
  4. Step 4: Simplify right side
    10,729.44x = 89,042,886.45
  5. Step 5: Solve for x
    x = 89,042,886.45/10,729.44
  6. Step 6: Final answer
    x = 8,298.93

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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.