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Finding the Fourth Proportional to 11,280.81, 15,567.41 and 6,745.58

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Solution

The fourth proportional to 11,280.81, 15,567.41 and 6,745.58 is: 9,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.81 : 15,567.41 = 6,745.58 : x
  2. Step 2: Convert to fraction form
    11,280.81/15,567.41 = 6,745.58/x
  3. Step 3: Cross multiply
    11,280.81x = 15,567.41 × 6,745.58
  4. Step 4: Simplify right side
    11,280.81x = 105,011,097.98
  5. Step 5: Solve for x
    x = 105,011,097.98/11,280.81
  6. Step 6: Final answer
    x = 9,308.83

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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.