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Finding the Fourth Proportional to 11,567.63, 17,379.14 and 7,415.75

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Solution

The fourth proportional to 11,567.63, 17,379.14 and 7,415.75 is: 11,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.63 : 17,379.14 = 7,415.75 : x
  2. Step 2: Convert to fraction form
    11,567.63/17,379.14 = 7,415.75/x
  3. Step 3: Cross multiply
    11,567.63x = 17,379.14 × 7,415.75
  4. Step 4: Simplify right side
    11,567.63x = 128,879,357.46
  5. Step 5: Solve for x
    x = 128,879,357.46/11,567.63
  6. Step 6: Final answer
    x = 11,141.38

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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.