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Finding the Fourth Proportional to 11,845.64, 16,341.54 and 7,655.24

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Solution

The fourth proportional to 11,845.64, 16,341.54 and 7,655.24 is: 10,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.64 : 16,341.54 = 7,655.24 : x
  2. Step 2: Convert to fraction form
    11,845.64/16,341.54 = 7,655.24/x
  3. Step 3: Cross multiply
    11,845.64x = 16,341.54 × 7,655.24
  4. Step 4: Simplify right side
    11,845.64x = 125,098,410.67
  5. Step 5: Solve for x
    x = 125,098,410.67/11,845.64
  6. Step 6: Final answer
    x = 10,560.71

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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.