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Finding the Fourth Proportional to 10,977.25, 16,465.79 and 2,657.31

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Solution

The fourth proportional to 10,977.25, 16,465.79 and 2,657.31 is: 3,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.25 : 16,465.79 = 2,657.31 : x
  2. Step 2: Convert to fraction form
    10,977.25/16,465.79 = 2,657.31/x
  3. Step 3: Cross multiply
    10,977.25x = 16,465.79 × 2,657.31
  4. Step 4: Simplify right side
    10,977.25x = 43,754,657.06
  5. Step 5: Solve for x
    x = 43,754,657.06/10,977.25
  6. Step 6: Final answer
    x = 3,985.94

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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.