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Finding the Fourth Proportional to 7,143.36, 10,680 and 6,059.84

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Solution

The fourth proportional to 7,143.36, 10,680 and 6,059.84 is: 9,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.36 : 10,680 = 6,059.84 : x
  2. Step 2: Convert to fraction form
    7,143.36/10,680 = 6,059.84/x
  3. Step 3: Cross multiply
    7,143.36x = 10,680 × 6,059.84
  4. Step 4: Simplify right side
    7,143.36x = 64,719,091.20
  5. Step 5: Solve for x
    x = 64,719,091.20/7,143.36
  6. Step 6: Final answer
    x = 9,060.03

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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.