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Finding the Fourth Proportional to 10,003.79, 13,803.56 and 6,419.54

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Solution

The fourth proportional to 10,003.79, 13,803.56 and 6,419.54 is: 8,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.79 : 13,803.56 = 6,419.54 : x
  2. Step 2: Convert to fraction form
    10,003.79/13,803.56 = 6,419.54/x
  3. Step 3: Cross multiply
    10,003.79x = 13,803.56 × 6,419.54
  4. Step 4: Simplify right side
    10,003.79x = 88,612,404.45
  5. Step 5: Solve for x
    x = 88,612,404.45/10,003.79
  6. Step 6: Final answer
    x = 8,857.89

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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.