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Finding the Fourth Proportional to 11,567.76, 17,360.55 and 6,022.50

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Solution

The fourth proportional to 11,567.76, 17,360.55 and 6,022.50 is: 9,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.76 : 17,360.55 = 6,022.50 : x
  2. Step 2: Convert to fraction form
    11,567.76/17,360.55 = 6,022.50/x
  3. Step 3: Cross multiply
    11,567.76x = 17,360.55 × 6,022.50
  4. Step 4: Simplify right side
    11,567.76x = 104,553,912.38
  5. Step 5: Solve for x
    x = 104,553,912.38/11,567.76
  6. Step 6: Final answer
    x = 9,038.39

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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.