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Finding the Fourth Proportional to 10,935.10, 16,422.09 and 7,654.60

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Solution

The fourth proportional to 10,935.10, 16,422.09 and 7,654.60 is: 11,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.10 : 16,422.09 = 7,654.60 : x
  2. Step 2: Convert to fraction form
    10,935.10/16,422.09 = 7,654.60/x
  3. Step 3: Cross multiply
    10,935.10x = 16,422.09 × 7,654.60
  4. Step 4: Simplify right side
    10,935.10x = 125,704,530.11
  5. Step 5: Solve for x
    x = 125,704,530.11/10,935.10
  6. Step 6: Final answer
    x = 11,495.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.