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Finding the Fourth Proportional to 10,247.66, 14,144.07 and 6,708.81

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Solution

The fourth proportional to 10,247.66, 14,144.07 and 6,708.81 is: 9,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247.66 : 14,144.07 = 6,708.81 : x
  2. Step 2: Convert to fraction form
    10,247.66/14,144.07 = 6,708.81/x
  3. Step 3: Cross multiply
    10,247.66x = 14,144.07 × 6,708.81
  4. Step 4: Simplify right side
    10,247.66x = 94,889,878.26
  5. Step 5: Solve for x
    x = 94,889,878.26/10,247.66
  6. Step 6: Final answer
    x = 9,259.66

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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.