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Finding the Fourth Proportional to 10,230.08, 14,117.44 and 5,814.08

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Solution

The fourth proportional to 10,230.08, 14,117.44 and 5,814.08 is: 8,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.08 : 14,117.44 = 5,814.08 : x
  2. Step 2: Convert to fraction form
    10,230.08/14,117.44 = 5,814.08/x
  3. Step 3: Cross multiply
    10,230.08x = 14,117.44 × 5,814.08
  4. Step 4: Simplify right side
    10,230.08x = 82,079,925.56
  5. Step 5: Solve for x
    x = 82,079,925.56/10,230.08
  6. Step 6: Final answer
    x = 8,023.39

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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.