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Finding the Fourth Proportional to 10,661.40, 14,719.98 and 6,893.68

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Solution

The fourth proportional to 10,661.40, 14,719.98 and 6,893.68 is: 9,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.40 : 14,719.98 = 6,893.68 : x
  2. Step 2: Convert to fraction form
    10,661.40/14,719.98 = 6,893.68/x
  3. Step 3: Cross multiply
    10,661.40x = 14,719.98 × 6,893.68
  4. Step 4: Simplify right side
    10,661.40x = 101,474,831.73
  5. Step 5: Solve for x
    x = 101,474,831.73/10,661.40
  6. Step 6: Final answer
    x = 9,517.96

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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.