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Finding the Fourth Proportional to 11,706.48, 16,154.10 and 6,400.17

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Solution

The fourth proportional to 11,706.48, 16,154.10 and 6,400.17 is: 8,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.48 : 16,154.10 = 6,400.17 : x
  2. Step 2: Convert to fraction form
    11,706.48/16,154.10 = 6,400.17/x
  3. Step 3: Cross multiply
    11,706.48x = 16,154.10 × 6,400.17
  4. Step 4: Simplify right side
    11,706.48x = 103,388,986.20
  5. Step 5: Solve for x
    x = 103,388,986.20/11,706.48
  6. Step 6: Final answer
    x = 8,831.77

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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.