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Finding the Fourth Proportional to 10,873.51, 16,308.29 and 4,949

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Solution

The fourth proportional to 10,873.51, 16,308.29 and 4,949 is: 7,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.51 : 16,308.29 = 4,949 : x
  2. Step 2: Convert to fraction form
    10,873.51/16,308.29 = 4,949/x
  3. Step 3: Cross multiply
    10,873.51x = 16,308.29 × 4,949
  4. Step 4: Simplify right side
    10,873.51x = 80,709,727.21
  5. Step 5: Solve for x
    x = 80,709,727.21/10,873.51
  6. Step 6: Final answer
    x = 7,422.60

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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.