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Finding the Fourth Proportional to 10,783.48, 14,881.04 and 6,067.76

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Solution

The fourth proportional to 10,783.48, 14,881.04 and 6,067.76 is: 8,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.48 : 14,881.04 = 6,067.76 : x
  2. Step 2: Convert to fraction form
    10,783.48/14,881.04 = 6,067.76/x
  3. Step 3: Cross multiply
    10,783.48x = 14,881.04 × 6,067.76
  4. Step 4: Simplify right side
    10,783.48x = 90,294,579.27
  5. Step 5: Solve for x
    x = 90,294,579.27/10,783.48
  6. Step 6: Final answer
    x = 8,373.42

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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.