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Finding the Fourth Proportional to 7,541.56, 11,322.10 and 5,811.32

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Solution

The fourth proportional to 7,541.56, 11,322.10 and 5,811.32 is: 8,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.56 : 11,322.10 = 5,811.32 : x
  2. Step 2: Convert to fraction form
    7,541.56/11,322.10 = 5,811.32/x
  3. Step 3: Cross multiply
    7,541.56x = 11,322.10 × 5,811.32
  4. Step 4: Simplify right side
    7,541.56x = 65,796,346.17
  5. Step 5: Solve for x
    x = 65,796,346.17/7,541.56
  6. Step 6: Final answer
    x = 8,724.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.