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Finding the Fourth Proportional to 10,857.98, 14,981.69 and 8,172.02

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Solution

The fourth proportional to 10,857.98, 14,981.69 and 8,172.02 is: 11,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.98 : 14,981.69 = 8,172.02 : x
  2. Step 2: Convert to fraction form
    10,857.98/14,981.69 = 8,172.02/x
  3. Step 3: Cross multiply
    10,857.98x = 14,981.69 × 8,172.02
  4. Step 4: Simplify right side
    10,857.98x = 122,430,728.20
  5. Step 5: Solve for x
    x = 122,430,728.20/10,857.98
  6. Step 6: Final answer
    x = 11,275.64

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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.