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Finding the Fourth Proportional to 8,187.73, 11,293.61 and 5,632.00

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Solution

The fourth proportional to 8,187.73, 11,293.61 and 5,632.00 is: 7,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.73 : 11,293.61 = 5,632.00 : x
  2. Step 2: Convert to fraction form
    8,187.73/11,293.61 = 5,632.00/x
  3. Step 3: Cross multiply
    8,187.73x = 11,293.61 × 5,632.00
  4. Step 4: Simplify right side
    8,187.73x = 63,605,555.13
  5. Step 5: Solve for x
    x = 63,605,555.13/8,187.73
  6. Step 6: Final answer
    x = 7,768.40

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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.