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Finding the Fourth Proportional to 8,159.04, 11,259.52 and 4,802

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Solution

The fourth proportional to 8,159.04, 11,259.52 and 4,802 is: 6,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.04 : 11,259.52 = 4,802 : x
  2. Step 2: Convert to fraction form
    8,159.04/11,259.52 = 4,802/x
  3. Step 3: Cross multiply
    8,159.04x = 11,259.52 × 4,802
  4. Step 4: Simplify right side
    8,159.04x = 54,068,215.04
  5. Step 5: Solve for x
    x = 54,068,215.04/8,159.04
  6. Step 6: Final answer
    x = 6,626.79

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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.