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Finding the Fourth Proportional to 10,032.07, 13,842.78 and 5,782.80

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Solution

The fourth proportional to 10,032.07, 13,842.78 and 5,782.80 is: 7,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.07 : 13,842.78 = 5,782.80 : x
  2. Step 2: Convert to fraction form
    10,032.07/13,842.78 = 5,782.80/x
  3. Step 3: Cross multiply
    10,032.07x = 13,842.78 × 5,782.80
  4. Step 4: Simplify right side
    10,032.07x = 80,050,052.00
  5. Step 5: Solve for x
    x = 80,050,052.00/10,032.07
  6. Step 6: Final answer
    x = 7,979.41

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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.