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Finding the Fourth Proportional to 10,783.31, 14,881.25 and 6,067.76

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Solution

The fourth proportional to 10,783.31, 14,881.25 and 6,067.76 is: 8,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.31 : 14,881.25 = 6,067.76 : x
  2. Step 2: Convert to fraction form
    10,783.31/14,881.25 = 6,067.76/x
  3. Step 3: Cross multiply
    10,783.31x = 14,881.25 × 6,067.76
  4. Step 4: Simplify right side
    10,783.31x = 90,295,794.26
  5. Step 5: Solve for x
    x = 90,295,794.26/10,783.31
  6. Step 6: Final answer
    x = 8,373.67

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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.