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Finding the Fourth Proportional to 10,802.08, 14,905.92 and 6,021.84

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Solution

The fourth proportional to 10,802.08, 14,905.92 and 6,021.84 is: 8,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.08 : 14,905.92 = 6,021.84 : x
  2. Step 2: Convert to fraction form
    10,802.08/14,905.92 = 6,021.84/x
  3. Step 3: Cross multiply
    10,802.08x = 14,905.92 × 6,021.84
  4. Step 4: Simplify right side
    10,802.08x = 89,761,065.29
  5. Step 5: Solve for x
    x = 89,761,065.29/10,802.08
  6. Step 6: Final answer
    x = 8,309.61

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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.