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Finding the Fourth Proportional to 10,709.51, 16,064.24 and 3,313.80

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Solution

The fourth proportional to 10,709.51, 16,064.24 and 3,313.80 is: 4,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.51 : 16,064.24 = 3,313.80 : x
  2. Step 2: Convert to fraction form
    10,709.51/16,064.24 = 3,313.80/x
  3. Step 3: Cross multiply
    10,709.51x = 16,064.24 × 3,313.80
  4. Step 4: Simplify right side
    10,709.51x = 53,233,661.94
  5. Step 5: Solve for x
    x = 53,233,661.94/10,709.51
  6. Step 6: Final answer
    x = 4,970.69

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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.