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Finding the Fourth Proportional to 10,615.10, 14,641.71 and 6,843.07

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Solution

The fourth proportional to 10,615.10, 14,641.71 and 6,843.07 is: 9,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.10 : 14,641.71 = 6,843.07 : x
  2. Step 2: Convert to fraction form
    10,615.10/14,641.71 = 6,843.07/x
  3. Step 3: Cross multiply
    10,615.10x = 14,641.71 × 6,843.07
  4. Step 4: Simplify right side
    10,615.10x = 100,194,173.24
  5. Step 5: Solve for x
    x = 100,194,173.24/10,615.10
  6. Step 6: Final answer
    x = 9,438.83

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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.