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Finding the Fourth Proportional to 10,195.85, 14,070.20 and 6,216.72

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Solution

The fourth proportional to 10,195.85, 14,070.20 and 6,216.72 is: 8,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.85 : 14,070.20 = 6,216.72 : x
  2. Step 2: Convert to fraction form
    10,195.85/14,070.20 = 6,216.72/x
  3. Step 3: Cross multiply
    10,195.85x = 14,070.20 × 6,216.72
  4. Step 4: Simplify right side
    10,195.85x = 87,470,462.66
  5. Step 5: Solve for x
    x = 87,470,462.66/10,195.85
  6. Step 6: Final answer
    x = 8,579.03

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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.