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Finding the Fourth Proportional to 7,567.74, 11,352.14 and 2,021.06

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Solution

The fourth proportional to 7,567.74, 11,352.14 and 2,021.06 is: 3,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.74 : 11,352.14 = 2,021.06 : x
  2. Step 2: Convert to fraction form
    7,567.74/11,352.14 = 2,021.06/x
  3. Step 3: Cross multiply
    7,567.74x = 11,352.14 × 2,021.06
  4. Step 4: Simplify right side
    7,567.74x = 22,943,356.07
  5. Step 5: Solve for x
    x = 22,943,356.07/7,567.74
  6. Step 6: Final answer
    x = 3,031.73

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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.