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Finding the Fourth Proportional to 10,894.83, 15,027.80 and 6,414.81

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Solution

The fourth proportional to 10,894.83, 15,027.80 and 6,414.81 is: 8,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.83 : 15,027.80 = 6,414.81 : x
  2. Step 2: Convert to fraction form
    10,894.83/15,027.80 = 6,414.81/x
  3. Step 3: Cross multiply
    10,894.83x = 15,027.80 × 6,414.81
  4. Step 4: Simplify right side
    10,894.83x = 96,400,449.64
  5. Step 5: Solve for x
    x = 96,400,449.64/10,894.83
  6. Step 6: Final answer
    x = 8,848.27

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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.