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Finding the Fourth Proportional to 7,866.62, 11,799.91 and 2,320.02

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Solution

The fourth proportional to 7,866.62, 11,799.91 and 2,320.02 is: 3,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.62 : 11,799.91 = 2,320.02 : x
  2. Step 2: Convert to fraction form
    7,866.62/11,799.91 = 2,320.02/x
  3. Step 3: Cross multiply
    7,866.62x = 11,799.91 × 2,320.02
  4. Step 4: Simplify right side
    7,866.62x = 27,376,030.10
  5. Step 5: Solve for x
    x = 27,376,030.10/7,866.62
  6. Step 6: Final answer
    x = 3,480.03

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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.