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Finding the Fourth Proportional to 7,797.98, 11,698.48 and 2,867.66

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Solution

The fourth proportional to 7,797.98, 11,698.48 and 2,867.66 is: 4,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.98 : 11,698.48 = 2,867.66 : x
  2. Step 2: Convert to fraction form
    7,797.98/11,698.48 = 2,867.66/x
  3. Step 3: Cross multiply
    7,797.98x = 11,698.48 × 2,867.66
  4. Step 4: Simplify right side
    7,797.98x = 33,547,263.16
  5. Step 5: Solve for x
    x = 33,547,263.16/7,797.98
  6. Step 6: Final answer
    x = 4,302.05

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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.