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Finding the Fourth Proportional to 11,314.53, 15,612.77 and 6,277.44

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Solution

The fourth proportional to 11,314.53, 15,612.77 and 6,277.44 is: 8,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.53 : 15,612.77 = 6,277.44 : x
  2. Step 2: Convert to fraction form
    11,314.53/15,612.77 = 6,277.44/x
  3. Step 3: Cross multiply
    11,314.53x = 15,612.77 × 6,277.44
  4. Step 4: Simplify right side
    11,314.53x = 98,008,242.60
  5. Step 5: Solve for x
    x = 98,008,242.60/11,314.53
  6. Step 6: Final answer
    x = 8,662.16

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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.