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Finding the Fourth Proportional to 10,076.20, 15,098.90 and 6,777.08

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Solution

The fourth proportional to 10,076.20, 15,098.90 and 6,777.08 is: 10,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.20 : 15,098.90 = 6,777.08 : x
  2. Step 2: Convert to fraction form
    10,076.20/15,098.90 = 6,777.08/x
  3. Step 3: Cross multiply
    10,076.20x = 15,098.90 × 6,777.08
  4. Step 4: Simplify right side
    10,076.20x = 102,326,453.21
  5. Step 5: Solve for x
    x = 102,326,453.21/10,076.20
  6. Step 6: Final answer
    x = 10,155.26

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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.