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Finding the Fourth Proportional to 11,280.96, 15,567.36 and 6,245

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Solution

The fourth proportional to 11,280.96, 15,567.36 and 6,245 is: 8,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.96 : 15,567.36 = 6,245 : x
  2. Step 2: Convert to fraction form
    11,280.96/15,567.36 = 6,245/x
  3. Step 3: Cross multiply
    11,280.96x = 15,567.36 × 6,245
  4. Step 4: Simplify right side
    11,280.96x = 97,218,163.20
  5. Step 5: Solve for x
    x = 97,218,163.20/11,280.96
  6. Step 6: Final answer
    x = 8,617.90

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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.