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Finding the Fourth Proportional to 11,225.57, 16,823.22 and 6,216.13

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Solution

The fourth proportional to 11,225.57, 16,823.22 and 6,216.13 is: 9,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.57 : 16,823.22 = 6,216.13 : x
  2. Step 2: Convert to fraction form
    11,225.57/16,823.22 = 6,216.13/x
  3. Step 3: Cross multiply
    11,225.57x = 16,823.22 × 6,216.13
  4. Step 4: Simplify right side
    11,225.57x = 104,575,320.26
  5. Step 5: Solve for x
    x = 104,575,320.26/11,225.57
  6. Step 6: Final answer
    x = 9,315.82

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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.