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Finding the Fourth Proportional to 10,172.97, 15,224.07 and 6,222.51

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Solution

The fourth proportional to 10,172.97, 15,224.07 and 6,222.51 is: 9,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.97 : 15,224.07 = 6,222.51 : x
  2. Step 2: Convert to fraction form
    10,172.97/15,224.07 = 6,222.51/x
  3. Step 3: Cross multiply
    10,172.97x = 15,224.07 × 6,222.51
  4. Step 4: Simplify right side
    10,172.97x = 94,731,927.82
  5. Step 5: Solve for x
    x = 94,731,927.82/10,172.97
  6. Step 6: Final answer
    x = 9,312.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.