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Finding the Fourth Proportional to 10,077.76, 15,091.50 and 6,368.80

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Solution

The fourth proportional to 10,077.76, 15,091.50 and 6,368.80 is: 9,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.76 : 15,091.50 = 6,368.80 : x
  2. Step 2: Convert to fraction form
    10,077.76/15,091.50 = 6,368.80/x
  3. Step 3: Cross multiply
    10,077.76x = 15,091.50 × 6,368.80
  4. Step 4: Simplify right side
    10,077.76x = 96,114,745.20
  5. Step 5: Solve for x
    x = 96,114,745.20/10,077.76
  6. Step 6: Final answer
    x = 9,537.31

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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.