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Finding the Fourth Proportional to 10,647.48, 14,695.62 and 6,172.22

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Solution

The fourth proportional to 10,647.48, 14,695.62 and 6,172.22 is: 8,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.48 : 14,695.62 = 6,172.22 : x
  2. Step 2: Convert to fraction form
    10,647.48/14,695.62 = 6,172.22/x
  3. Step 3: Cross multiply
    10,647.48x = 14,695.62 × 6,172.22
  4. Step 4: Simplify right side
    10,647.48x = 90,704,599.68
  5. Step 5: Solve for x
    x = 90,704,599.68/10,647.48
  6. Step 6: Final answer
    x = 8,518.88

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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.