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Finding the Fourth Proportional to 10,596.51, 15,896.25 and 3,200.13

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Solution

The fourth proportional to 10,596.51, 15,896.25 and 3,200.13 is: 4,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.51 : 15,896.25 = 3,200.13 : x
  2. Step 2: Convert to fraction form
    10,596.51/15,896.25 = 3,200.13/x
  3. Step 3: Cross multiply
    10,596.51x = 15,896.25 × 3,200.13
  4. Step 4: Simplify right side
    10,596.51x = 50,870,066.51
  5. Step 5: Solve for x
    x = 50,870,066.51/10,596.51
  6. Step 6: Final answer
    x = 4,800.64

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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.