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Finding the Fourth Proportional to 10,783.96, 16,170.24 and 3,386.44

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Solution

The fourth proportional to 10,783.96, 16,170.24 and 3,386.44 is: 5,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.96 : 16,170.24 = 3,386.44 : x
  2. Step 2: Convert to fraction form
    10,783.96/16,170.24 = 3,386.44/x
  3. Step 3: Cross multiply
    10,783.96x = 16,170.24 × 3,386.44
  4. Step 4: Simplify right side
    10,783.96x = 54,759,547.55
  5. Step 5: Solve for x
    x = 54,759,547.55/10,783.96
  6. Step 6: Final answer
    x = 5,077.87

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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.