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Finding the Fourth Proportional to 10,076.76, 15,090 and 6,367.80

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Solution

The fourth proportional to 10,076.76, 15,090 and 6,367.80 is: 9,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.76 : 15,090 = 6,367.80 : x
  2. Step 2: Convert to fraction form
    10,076.76/15,090 = 6,367.80/x
  3. Step 3: Cross multiply
    10,076.76x = 15,090 × 6,367.80
  4. Step 4: Simplify right side
    10,076.76x = 96,090,102
  5. Step 5: Solve for x
    x = 96,090,102/10,076.76
  6. Step 6: Final answer
    x = 9,535.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.