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Finding the Fourth Proportional to 10,757.85, 14,842.62 and 6,510.48

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Solution

The fourth proportional to 10,757.85, 14,842.62 and 6,510.48 is: 8,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.85 : 14,842.62 = 6,510.48 : x
  2. Step 2: Convert to fraction form
    10,757.85/14,842.62 = 6,510.48/x
  3. Step 3: Cross multiply
    10,757.85x = 14,842.62 × 6,510.48
  4. Step 4: Simplify right side
    10,757.85x = 96,632,580.66
  5. Step 5: Solve for x
    x = 96,632,580.66/10,757.85
  6. Step 6: Final answer
    x = 8,982.52

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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.