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Finding the Fourth Proportional to 11,567.92, 17,357.12 and 4,546

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Solution

The fourth proportional to 11,567.92, 17,357.12 and 4,546 is: 6,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.92 : 17,357.12 = 4,546 : x
  2. Step 2: Convert to fraction form
    11,567.92/17,357.12 = 4,546/x
  3. Step 3: Cross multiply
    11,567.92x = 17,357.12 × 4,546
  4. Step 4: Simplify right side
    11,567.92x = 78,905,467.52
  5. Step 5: Solve for x
    x = 78,905,467.52/11,567.92
  6. Step 6: Final answer
    x = 6,821.06

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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.