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Finding the Fourth Proportional to 10,369.51, 14,311.12 and 5,894.05

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Solution

The fourth proportional to 10,369.51, 14,311.12 and 5,894.05 is: 8,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.51 : 14,311.12 = 5,894.05 : x
  2. Step 2: Convert to fraction form
    10,369.51/14,311.12 = 5,894.05/x
  3. Step 3: Cross multiply
    10,369.51x = 14,311.12 × 5,894.05
  4. Step 4: Simplify right side
    10,369.51x = 84,350,456.84
  5. Step 5: Solve for x
    x = 84,350,456.84/10,369.51
  6. Step 6: Final answer
    x = 8,134.47

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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.