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Finding the Fourth Proportional to 11,344.78, 15,654.36 and 7,155.46

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Solution

The fourth proportional to 11,344.78, 15,654.36 and 7,155.46 is: 9,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.78 : 15,654.36 = 7,155.46 : x
  2. Step 2: Convert to fraction form
    11,344.78/15,654.36 = 7,155.46/x
  3. Step 3: Cross multiply
    11,344.78x = 15,654.36 × 7,155.46
  4. Step 4: Simplify right side
    11,344.78x = 112,014,146.81
  5. Step 5: Solve for x
    x = 112,014,146.81/11,344.78
  6. Step 6: Final answer
    x = 9,873.63

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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.