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Finding the Fourth Proportional to 10,828.84, 16,211.82 and 6,312.11

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Solution

The fourth proportional to 10,828.84, 16,211.82 and 6,312.11 is: 9,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.84 : 16,211.82 = 6,312.11 : x
  2. Step 2: Convert to fraction form
    10,828.84/16,211.82 = 6,312.11/x
  3. Step 3: Cross multiply
    10,828.84x = 16,211.82 × 6,312.11
  4. Step 4: Simplify right side
    10,828.84x = 102,330,875.58
  5. Step 5: Solve for x
    x = 102,330,875.58/10,828.84
  6. Step 6: Final answer
    x = 9,449.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.