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Finding the Fourth Proportional to 10,032.54, 13,843.43 and 5,783.27

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Solution

The fourth proportional to 10,032.54, 13,843.43 and 5,783.27 is: 7,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.54 : 13,843.43 = 5,783.27 : x
  2. Step 2: Convert to fraction form
    10,032.54/13,843.43 = 5,783.27/x
  3. Step 3: Cross multiply
    10,032.54x = 13,843.43 × 5,783.27
  4. Step 4: Simplify right side
    10,032.54x = 80,060,264.50
  5. Step 5: Solve for x
    x = 80,060,264.50/10,032.54
  6. Step 6: Final answer
    x = 7,980.06

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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.