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Finding the Fourth Proportional to 10,444.71, 15,662.45 and 4,893.57

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Solution

The fourth proportional to 10,444.71, 15,662.45 and 4,893.57 is: 7,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.71 : 15,662.45 = 4,893.57 : x
  2. Step 2: Convert to fraction form
    10,444.71/15,662.45 = 4,893.57/x
  3. Step 3: Cross multiply
    10,444.71x = 15,662.45 × 4,893.57
  4. Step 4: Simplify right side
    10,444.71x = 76,645,310.13
  5. Step 5: Solve for x
    x = 76,645,310.13/10,444.71
  6. Step 6: Final answer
    x = 7,338.20

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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.