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Finding the Fourth Proportional to 10,729.89, 14,807.88 and 6,014.88

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Solution

The fourth proportional to 10,729.89, 14,807.88 and 6,014.88 is: 8,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.89 : 14,807.88 = 6,014.88 : x
  2. Step 2: Convert to fraction form
    10,729.89/14,807.88 = 6,014.88/x
  3. Step 3: Cross multiply
    10,729.89x = 14,807.88 × 6,014.88
  4. Step 4: Simplify right side
    10,729.89x = 89,067,621.25
  5. Step 5: Solve for x
    x = 89,067,621.25/10,729.89
  6. Step 6: Final answer
    x = 8,300.89

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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.