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Finding the Fourth Proportional to 10,298.72, 14,218.36 and 6,768.08

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Solution

The fourth proportional to 10,298.72, 14,218.36 and 6,768.08 is: 9,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.72 : 14,218.36 = 6,768.08 : x
  2. Step 2: Convert to fraction form
    10,298.72/14,218.36 = 6,768.08/x
  3. Step 3: Cross multiply
    10,298.72x = 14,218.36 × 6,768.08
  4. Step 4: Simplify right side
    10,298.72x = 96,230,997.95
  5. Step 5: Solve for x
    x = 96,230,997.95/10,298.72
  6. Step 6: Final answer
    x = 9,343.98

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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.