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Finding the Fourth Proportional to 10,778.04, 16,150.84 and 6,093

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Solution

The fourth proportional to 10,778.04, 16,150.84 and 6,093 is: 9,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.04 : 16,150.84 = 6,093 : x
  2. Step 2: Convert to fraction form
    10,778.04/16,150.84 = 6,093/x
  3. Step 3: Cross multiply
    10,778.04x = 16,150.84 × 6,093
  4. Step 4: Simplify right side
    10,778.04x = 98,407,068.12
  5. Step 5: Solve for x
    x = 98,407,068.12/10,778.04
  6. Step 6: Final answer
    x = 9,130.33

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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.