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Finding the Fourth Proportional to 7,088.06, 10,632 and 3,189.71

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Solution

The fourth proportional to 7,088.06, 10,632 and 3,189.71 is: 4,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.06 : 10,632 = 3,189.71 : x
  2. Step 2: Convert to fraction form
    7,088.06/10,632 = 3,189.71/x
  3. Step 3: Cross multiply
    7,088.06x = 10,632 × 3,189.71
  4. Step 4: Simplify right side
    7,088.06x = 33,912,996.72
  5. Step 5: Solve for x
    x = 33,912,996.72/7,088.06
  6. Step 6: Final answer
    x = 4,784.52

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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.