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Finding the Fourth Proportional to 10,783.72, 14,881.42 and 6,003.58

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Solution

The fourth proportional to 10,783.72, 14,881.42 and 6,003.58 is: 8,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.72 : 14,881.42 = 6,003.58 : x
  2. Step 2: Convert to fraction form
    10,783.72/14,881.42 = 6,003.58/x
  3. Step 3: Cross multiply
    10,783.72x = 14,881.42 × 6,003.58
  4. Step 4: Simplify right side
    10,783.72x = 89,341,795.48
  5. Step 5: Solve for x
    x = 89,341,795.48/10,783.72
  6. Step 6: Final answer
    x = 8,284.88

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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.