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Finding the Fourth Proportional to 10,298.84, 14,204.85 and 6,760.76

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Solution

The fourth proportional to 10,298.84, 14,204.85 and 6,760.76 is: 9,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.84 : 14,204.85 = 6,760.76 : x
  2. Step 2: Convert to fraction form
    10,298.84/14,204.85 = 6,760.76/x
  3. Step 3: Cross multiply
    10,298.84x = 14,204.85 × 6,760.76
  4. Step 4: Simplify right side
    10,298.84x = 96,035,581.69
  5. Step 5: Solve for x
    x = 96,035,581.69/10,298.84
  6. Step 6: Final answer
    x = 9,324.89

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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.