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Finding the Fourth Proportional to 10,164.46, 15,172.25 and 8,966.07

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Solution

The fourth proportional to 10,164.46, 15,172.25 and 8,966.07 is: 13,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.46 : 15,172.25 = 8,966.07 : x
  2. Step 2: Convert to fraction form
    10,164.46/15,172.25 = 8,966.07/x
  3. Step 3: Cross multiply
    10,164.46x = 15,172.25 × 8,966.07
  4. Step 4: Simplify right side
    10,164.46x = 136,035,405.88
  5. Step 5: Solve for x
    x = 136,035,405.88/10,164.46
  6. Step 6: Final answer
    x = 13,383.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.