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Finding the Fourth Proportional to 10,904.32, 16,357.02 and 3,114.28

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Solution

The fourth proportional to 10,904.32, 16,357.02 and 3,114.28 is: 4,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.32 : 16,357.02 = 3,114.28 : x
  2. Step 2: Convert to fraction form
    10,904.32/16,357.02 = 3,114.28/x
  3. Step 3: Cross multiply
    10,904.32x = 16,357.02 × 3,114.28
  4. Step 4: Simplify right side
    10,904.32x = 50,940,340.25
  5. Step 5: Solve for x
    x = 50,940,340.25/10,904.32
  6. Step 6: Final answer
    x = 4,671.57

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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.