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Finding the Fourth Proportional to 10,289.95, 15,442.73 and 6,778.76

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Solution

The fourth proportional to 10,289.95, 15,442.73 and 6,778.76 is: 10,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.95 : 15,442.73 = 6,778.76 : x
  2. Step 2: Convert to fraction form
    10,289.95/15,442.73 = 6,778.76/x
  3. Step 3: Cross multiply
    10,289.95x = 15,442.73 × 6,778.76
  4. Step 4: Simplify right side
    10,289.95x = 104,682,538.75
  5. Step 5: Solve for x
    x = 104,682,538.75/10,289.95
  6. Step 6: Final answer
    x = 10,173.28

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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.