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Finding the Fourth Proportional to 10,192.86, 14,066.04 and 6,213.72

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Solution

The fourth proportional to 10,192.86, 14,066.04 and 6,213.72 is: 8,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.86 : 14,066.04 = 6,213.72 : x
  2. Step 2: Convert to fraction form
    10,192.86/14,066.04 = 6,213.72/x
  3. Step 3: Cross multiply
    10,192.86x = 14,066.04 × 6,213.72
  4. Step 4: Simplify right side
    10,192.86x = 87,402,434.07
  5. Step 5: Solve for x
    x = 87,402,434.07/10,192.86
  6. Step 6: Final answer
    x = 8,574.87

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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.