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Finding the Fourth Proportional to 10,196.54, 14,070.21 and 6,218.63

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Solution

The fourth proportional to 10,196.54, 14,070.21 and 6,218.63 is: 8,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.54 : 14,070.21 = 6,218.63 : x
  2. Step 2: Convert to fraction form
    10,196.54/14,070.21 = 6,218.63/x
  3. Step 3: Cross multiply
    10,196.54x = 14,070.21 × 6,218.63
  4. Step 4: Simplify right side
    10,196.54x = 87,497,430.01
  5. Step 5: Solve for x
    x = 87,497,430.01/10,196.54
  6. Step 6: Final answer
    x = 8,581.09

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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.