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Finding the Fourth Proportional to 7,991.16, 11,027.95 and 4,454.00

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Solution

The fourth proportional to 7,991.16, 11,027.95 and 4,454.00 is: 6,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.16 : 11,027.95 = 4,454.00 : x
  2. Step 2: Convert to fraction form
    7,991.16/11,027.95 = 4,454.00/x
  3. Step 3: Cross multiply
    7,991.16x = 11,027.95 × 4,454.00
  4. Step 4: Simplify right side
    7,991.16x = 49,118,434.16
  5. Step 5: Solve for x
    x = 49,118,434.16/7,991.16
  6. Step 6: Final answer
    x = 6,146.60

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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.