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Finding the Fourth Proportional to 10,212.88, 14,093.58 and 5,736.64

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Solution

The fourth proportional to 10,212.88, 14,093.58 and 5,736.64 is: 7,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.88 : 14,093.58 = 5,736.64 : x
  2. Step 2: Convert to fraction form
    10,212.88/14,093.58 = 5,736.64/x
  3. Step 3: Cross multiply
    10,212.88x = 14,093.58 × 5,736.64
  4. Step 4: Simplify right side
    10,212.88x = 80,849,794.77
  5. Step 5: Solve for x
    x = 80,849,794.77/10,212.88
  6. Step 6: Final answer
    x = 7,916.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.