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Finding the Fourth Proportional to 7,190.56, 9,901.20 and 6,140.32

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Solution

The fourth proportional to 7,190.56, 9,901.20 and 6,140.32 is: 8,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.56 : 9,901.20 = 6,140.32 : x
  2. Step 2: Convert to fraction form
    7,190.56/9,901.20 = 6,140.32/x
  3. Step 3: Cross multiply
    7,190.56x = 9,901.20 × 6,140.32
  4. Step 4: Simplify right side
    7,190.56x = 60,796,536.38
  5. Step 5: Solve for x
    x = 60,796,536.38/7,190.56
  6. Step 6: Final answer
    x = 8,455.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.