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Finding the Fourth Proportional to 10,461.67, 14,433.63 and 6,214.03

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Solution

The fourth proportional to 10,461.67, 14,433.63 and 6,214.03 is: 8,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.67 : 14,433.63 = 6,214.03 : x
  2. Step 2: Convert to fraction form
    10,461.67/14,433.63 = 6,214.03/x
  3. Step 3: Cross multiply
    10,461.67x = 14,433.63 × 6,214.03
  4. Step 4: Simplify right side
    10,461.67x = 89,691,009.83
  5. Step 5: Solve for x
    x = 89,691,009.83/10,461.67
  6. Step 6: Final answer
    x = 8,573.30

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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.