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Finding the Fourth Proportional to 10,857.94, 16,301.98 and 5,596.72

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Solution

The fourth proportional to 10,857.94, 16,301.98 and 5,596.72 is: 8,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.94 : 16,301.98 = 5,596.72 : x
  2. Step 2: Convert to fraction form
    10,857.94/16,301.98 = 5,596.72/x
  3. Step 3: Cross multiply
    10,857.94x = 16,301.98 × 5,596.72
  4. Step 4: Simplify right side
    10,857.94x = 91,237,617.51
  5. Step 5: Solve for x
    x = 91,237,617.51/10,857.94
  6. Step 6: Final answer
    x = 8,402.85

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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.