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Finding the Fourth Proportional to 10,766.96, 14,858.46 and 6,051.20

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Solution

The fourth proportional to 10,766.96, 14,858.46 and 6,051.20 is: 8,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.96 : 14,858.46 = 6,051.20 : x
  2. Step 2: Convert to fraction form
    10,766.96/14,858.46 = 6,051.20/x
  3. Step 3: Cross multiply
    10,766.96x = 14,858.46 × 6,051.20
  4. Step 4: Simplify right side
    10,766.96x = 89,911,513.15
  5. Step 5: Solve for x
    x = 89,911,513.15/10,766.96
  6. Step 6: Final answer
    x = 8,350.69

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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.