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Finding the Fourth Proportional to 10,774.08, 16,160.96 and 3,478.08

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Solution

The fourth proportional to 10,774.08, 16,160.96 and 3,478.08 is: 5,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.08 : 16,160.96 = 3,478.08 : x
  2. Step 2: Convert to fraction form
    10,774.08/16,160.96 = 3,478.08/x
  3. Step 3: Cross multiply
    10,774.08x = 16,160.96 × 3,478.08
  4. Step 4: Simplify right side
    10,774.08x = 56,209,111.76
  5. Step 5: Solve for x
    x = 56,209,111.76/10,774.08
  6. Step 6: Final answer
    x = 5,217.07

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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.