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Finding the Fourth Proportional to 11,026.64, 15,217.80 and 7,845.68

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Solution

The fourth proportional to 11,026.64, 15,217.80 and 7,845.68 is: 10,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.64 : 15,217.80 = 7,845.68 : x
  2. Step 2: Convert to fraction form
    11,026.64/15,217.80 = 7,845.68/x
  3. Step 3: Cross multiply
    11,026.64x = 15,217.80 × 7,845.68
  4. Step 4: Simplify right side
    11,026.64x = 119,393,989.10
  5. Step 5: Solve for x
    x = 119,393,989.10/11,026.64
  6. Step 6: Final answer
    x = 10,827.78

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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.