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Finding the Fourth Proportional to 10,712.49, 16,069.41 and 3,316.32

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Solution

The fourth proportional to 10,712.49, 16,069.41 and 3,316.32 is: 4,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.49 : 16,069.41 = 3,316.32 : x
  2. Step 2: Convert to fraction form
    10,712.49/16,069.41 = 3,316.32/x
  3. Step 3: Cross multiply
    10,712.49x = 16,069.41 × 3,316.32
  4. Step 4: Simplify right side
    10,712.49x = 53,291,305.77
  5. Step 5: Solve for x
    x = 53,291,305.77/10,712.49
  6. Step 6: Final answer
    x = 4,974.69

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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.