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Finding the Fourth Proportional to 8,986.85, 12,401.09 and 5,210.22

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Solution

The fourth proportional to 8,986.85, 12,401.09 and 5,210.22 is: 7,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.85 : 12,401.09 = 5,210.22 : x
  2. Step 2: Convert to fraction form
    8,986.85/12,401.09 = 5,210.22/x
  3. Step 3: Cross multiply
    8,986.85x = 12,401.09 × 5,210.22
  4. Step 4: Simplify right side
    8,986.85x = 64,612,381.09
  5. Step 5: Solve for x
    x = 64,612,381.09/8,986.85
  6. Step 6: Final answer
    x = 7,189.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.