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Finding the Fourth Proportional to 8,830.06, 13,224.93 and 4,216.30

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Solution

The fourth proportional to 8,830.06, 13,224.93 and 4,216.30 is: 6,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.06 : 13,224.93 = 4,216.30 : x
  2. Step 2: Convert to fraction form
    8,830.06/13,224.93 = 4,216.30/x
  3. Step 3: Cross multiply
    8,830.06x = 13,224.93 × 4,216.30
  4. Step 4: Simplify right side
    8,830.06x = 55,760,272.36
  5. Step 5: Solve for x
    x = 55,760,272.36/8,830.06
  6. Step 6: Final answer
    x = 6,314.82

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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.