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Finding the Fourth Proportional to 10,455.64, 15,671.61 and 5,194.32

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Solution

The fourth proportional to 10,455.64, 15,671.61 and 5,194.32 is: 7,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.64 : 15,671.61 = 5,194.32 : x
  2. Step 2: Convert to fraction form
    10,455.64/15,671.61 = 5,194.32/x
  3. Step 3: Cross multiply
    10,455.64x = 15,671.61 × 5,194.32
  4. Step 4: Simplify right side
    10,455.64x = 81,403,357.26
  5. Step 5: Solve for x
    x = 81,403,357.26/10,455.64
  6. Step 6: Final answer
    x = 7,785.59

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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.