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Finding the Fourth Proportional to 10,661.79, 15,984.42 and 7,146.16

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Solution

The fourth proportional to 10,661.79, 15,984.42 and 7,146.16 is: 10,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.79 : 15,984.42 = 7,146.16 : x
  2. Step 2: Convert to fraction form
    10,661.79/15,984.42 = 7,146.16/x
  3. Step 3: Cross multiply
    10,661.79x = 15,984.42 × 7,146.16
  4. Step 4: Simplify right side
    10,661.79x = 114,227,222.83
  5. Step 5: Solve for x
    x = 114,227,222.83/10,661.79
  6. Step 6: Final answer
    x = 10,713.71

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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.