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Finding the Fourth Proportional to 11,567.22, 17,356.91 and 6,306

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Solution

The fourth proportional to 11,567.22, 17,356.91 and 6,306 is: 9,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.22 : 17,356.91 = 6,306 : x
  2. Step 2: Convert to fraction form
    11,567.22/17,356.91 = 6,306/x
  3. Step 3: Cross multiply
    11,567.22x = 17,356.91 × 6,306
  4. Step 4: Simplify right side
    11,567.22x = 109,452,642.93
  5. Step 5: Solve for x
    x = 109,452,642.93/11,567.22
  6. Step 6: Final answer
    x = 9,462.31

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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.