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Finding the Fourth Proportional to 10,369.16, 14,310.57 and 5,894

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Solution

The fourth proportional to 10,369.16, 14,310.57 and 5,894 is: 8,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.16 : 14,310.57 = 5,894 : x
  2. Step 2: Convert to fraction form
    10,369.16/14,310.57 = 5,894/x
  3. Step 3: Cross multiply
    10,369.16x = 14,310.57 × 5,894
  4. Step 4: Simplify right side
    10,369.16x = 84,346,499.58
  5. Step 5: Solve for x
    x = 84,346,499.58/10,369.16
  6. Step 6: Final answer
    x = 8,134.36

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Why These Related Problems?

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