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Finding the Fourth Proportional to 11,831.92, 16,328.16 and 6,526.60

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Solution

The fourth proportional to 11,831.92, 16,328.16 and 6,526.60 is: 9,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.92 : 16,328.16 = 6,526.60 : x
  2. Step 2: Convert to fraction form
    11,831.92/16,328.16 = 6,526.60/x
  3. Step 3: Cross multiply
    11,831.92x = 16,328.16 × 6,526.60
  4. Step 4: Simplify right side
    11,831.92x = 106,567,369.06
  5. Step 5: Solve for x
    x = 106,567,369.06/11,831.92
  6. Step 6: Final answer
    x = 9,006.77

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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.