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Finding the Fourth Proportional to 10,192.94, 14,066.06 and 5,717.79

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Solution

The fourth proportional to 10,192.94, 14,066.06 and 5,717.79 is: 7,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.94 : 14,066.06 = 5,717.79 : x
  2. Step 2: Convert to fraction form
    10,192.94/14,066.06 = 5,717.79/x
  3. Step 3: Cross multiply
    10,192.94x = 14,066.06 × 5,717.79
  4. Step 4: Simplify right side
    10,192.94x = 80,426,748.62
  5. Step 5: Solve for x
    x = 80,426,748.62/10,192.94
  6. Step 6: Final answer
    x = 7,890.44

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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.