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Finding the Fourth Proportional to 10,299.84, 14,206.23 and 6,761.76

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Solution

The fourth proportional to 10,299.84, 14,206.23 and 6,761.76 is: 9,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.84 : 14,206.23 = 6,761.76 : x
  2. Step 2: Convert to fraction form
    10,299.84/14,206.23 = 6,761.76/x
  3. Step 3: Cross multiply
    10,299.84x = 14,206.23 × 6,761.76
  4. Step 4: Simplify right side
    10,299.84x = 96,059,117.76
  5. Step 5: Solve for x
    x = 96,059,117.76/10,299.84
  6. Step 6: Final answer
    x = 9,326.27

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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.