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Finding the Fourth Proportional to 10,802.19, 16,204.76 and 3,780.32

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Solution

The fourth proportional to 10,802.19, 16,204.76 and 3,780.32 is: 5,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.19 : 16,204.76 = 3,780.32 : x
  2. Step 2: Convert to fraction form
    10,802.19/16,204.76 = 3,780.32/x
  3. Step 3: Cross multiply
    10,802.19x = 16,204.76 × 3,780.32
  4. Step 4: Simplify right side
    10,802.19x = 61,259,183.73
  5. Step 5: Solve for x
    x = 61,259,183.73/10,802.19
  6. Step 6: Final answer
    x = 5,671.00

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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.