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Finding the Fourth Proportional to 10,672.10, 16,007.19 and 3,746.18

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Solution

The fourth proportional to 10,672.10, 16,007.19 and 3,746.18 is: 5,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.10 : 16,007.19 = 3,746.18 : x
  2. Step 2: Convert to fraction form
    10,672.10/16,007.19 = 3,746.18/x
  3. Step 3: Cross multiply
    10,672.10x = 16,007.19 × 3,746.18
  4. Step 4: Simplify right side
    10,672.10x = 59,965,815.03
  5. Step 5: Solve for x
    x = 59,965,815.03/10,672.10
  6. Step 6: Final answer
    x = 5,618.93

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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.