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Finding the Fourth Proportional to 10,696.51, 16,041.35 and 3,674.83

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Solution

The fourth proportional to 10,696.51, 16,041.35 and 3,674.83 is: 5,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.51 : 16,041.35 = 3,674.83 : x
  2. Step 2: Convert to fraction form
    10,696.51/16,041.35 = 3,674.83/x
  3. Step 3: Cross multiply
    10,696.51x = 16,041.35 × 3,674.83
  4. Step 4: Simplify right side
    10,696.51x = 58,949,238.81
  5. Step 5: Solve for x
    x = 58,949,238.81/10,696.51
  6. Step 6: Final answer
    x = 5,511.07

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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.