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Finding the Fourth Proportional to 11,114.64, 15,337.64 and 6,145.68

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Solution

The fourth proportional to 11,114.64, 15,337.64 and 6,145.68 is: 8,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.64 : 15,337.64 = 6,145.68 : x
  2. Step 2: Convert to fraction form
    11,114.64/15,337.64 = 6,145.68/x
  3. Step 3: Cross multiply
    11,114.64x = 15,337.64 × 6,145.68
  4. Step 4: Simplify right side
    11,114.64x = 94,260,227.40
  5. Step 5: Solve for x
    x = 94,260,227.40/11,114.64
  6. Step 6: Final answer
    x = 8,480.73

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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.