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Finding the Fourth Proportional to 7,802, 11,690.52 and 4,680.08

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Solution

The fourth proportional to 7,802, 11,690.52 and 4,680.08 is: 7,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 11,690.52 = 4,680.08 : x
  2. Step 2: Convert to fraction form
    7,802/11,690.52 = 4,680.08/x
  3. Step 3: Cross multiply
    7,802x = 11,690.52 × 4,680.08
  4. Step 4: Simplify right side
    7,802x = 54,712,568.84
  5. Step 5: Solve for x
    x = 54,712,568.84/7,802
  6. Step 6: Final answer
    x = 7,012.63

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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.