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Finding the Fourth Proportional to 11,545.86, 17,308.47 and 4,524.24

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Solution

The fourth proportional to 11,545.86, 17,308.47 and 4,524.24 is: 6,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.86 : 17,308.47 = 4,524.24 : x
  2. Step 2: Convert to fraction form
    11,545.86/17,308.47 = 4,524.24/x
  3. Step 3: Cross multiply
    11,545.86x = 17,308.47 × 4,524.24
  4. Step 4: Simplify right side
    11,545.86x = 78,307,672.31
  5. Step 5: Solve for x
    x = 78,307,672.31/11,545.86
  6. Step 6: Final answer
    x = 6,782.32

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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.