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Finding the Fourth Proportional to 10,552.86, 14,564.48 and 6,076.80

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Solution

The fourth proportional to 10,552.86, 14,564.48 and 6,076.80 is: 8,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.86 : 14,564.48 = 6,076.80 : x
  2. Step 2: Convert to fraction form
    10,552.86/14,564.48 = 6,076.80/x
  3. Step 3: Cross multiply
    10,552.86x = 14,564.48 × 6,076.80
  4. Step 4: Simplify right side
    10,552.86x = 88,505,401.68
  5. Step 5: Solve for x
    x = 88,505,401.68/10,552.86
  6. Step 6: Final answer
    x = 8,386.86

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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.