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Finding the Fourth Proportional to 7,802.91, 11,708.99 and 2,876.01

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Solution

The fourth proportional to 7,802.91, 11,708.99 and 2,876.01 is: 4,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.91 : 11,708.99 = 2,876.01 : x
  2. Step 2: Convert to fraction form
    7,802.91/11,708.99 = 2,876.01/x
  3. Step 3: Cross multiply
    7,802.91x = 11,708.99 × 2,876.01
  4. Step 4: Simplify right side
    7,802.91x = 33,675,157.95
  5. Step 5: Solve for x
    x = 33,675,157.95/7,802.91
  6. Step 6: Final answer
    x = 4,315.72

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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.