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Finding the Fourth Proportional to 11,310.69, 15,608.05 and 6,831.80

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Solution

The fourth proportional to 11,310.69, 15,608.05 and 6,831.80 is: 9,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.69 : 15,608.05 = 6,831.80 : x
  2. Step 2: Convert to fraction form
    11,310.69/15,608.05 = 6,831.80/x
  3. Step 3: Cross multiply
    11,310.69x = 15,608.05 × 6,831.80
  4. Step 4: Simplify right side
    11,310.69x = 106,630,980.87
  5. Step 5: Solve for x
    x = 106,630,980.87/11,310.69
  6. Step 6: Final answer
    x = 9,427.45

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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.