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Finding the Fourth Proportional to 7,585.92, 11,368.80 and 4,027.32

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Solution

The fourth proportional to 7,585.92, 11,368.80 and 4,027.32 is: 6,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.92 : 11,368.80 = 4,027.32 : x
  2. Step 2: Convert to fraction form
    7,585.92/11,368.80 = 4,027.32/x
  3. Step 3: Cross multiply
    7,585.92x = 11,368.80 × 4,027.32
  4. Step 4: Simplify right side
    7,585.92x = 45,785,795.62
  5. Step 5: Solve for x
    x = 45,785,795.62/7,585.92
  6. Step 6: Final answer
    x = 6,035.63

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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.