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Finding the Fourth Proportional to 10,876.86, 15,009.76 and 6,399.60

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Solution

The fourth proportional to 10,876.86, 15,009.76 and 6,399.60 is: 8,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.86 : 15,009.76 = 6,399.60 : x
  2. Step 2: Convert to fraction form
    10,876.86/15,009.76 = 6,399.60/x
  3. Step 3: Cross multiply
    10,876.86x = 15,009.76 × 6,399.60
  4. Step 4: Simplify right side
    10,876.86x = 96,056,460.10
  5. Step 5: Solve for x
    x = 96,056,460.10/10,876.86
  6. Step 6: Final answer
    x = 8,831.27

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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.