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Finding the Fourth Proportional to 11,646.60, 17,455.92 and 5,398.12

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Solution

The fourth proportional to 11,646.60, 17,455.92 and 5,398.12 is: 8,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.60 : 17,455.92 = 5,398.12 : x
  2. Step 2: Convert to fraction form
    11,646.60/17,455.92 = 5,398.12/x
  3. Step 3: Cross multiply
    11,646.60x = 17,455.92 × 5,398.12
  4. Step 4: Simplify right side
    11,646.60x = 94,229,150.87
  5. Step 5: Solve for x
    x = 94,229,150.87/11,646.60
  6. Step 6: Final answer
    x = 8,090.70

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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.