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Finding the Fourth Proportional to 10,027.08, 13,833 and 6,045.93

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Solution

The fourth proportional to 10,027.08, 13,833 and 6,045.93 is: 8,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.08 : 13,833 = 6,045.93 : x
  2. Step 2: Convert to fraction form
    10,027.08/13,833 = 6,045.93/x
  3. Step 3: Cross multiply
    10,027.08x = 13,833 × 6,045.93
  4. Step 4: Simplify right side
    10,027.08x = 83,633,349.69
  5. Step 5: Solve for x
    x = 83,633,349.69/10,027.08
  6. Step 6: Final answer
    x = 8,340.75

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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.