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Finding the Fourth Proportional to 7,865.14, 11,797.75 and 3,482.64

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Solution

The fourth proportional to 7,865.14, 11,797.75 and 3,482.64 is: 5,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.14 : 11,797.75 = 3,482.64 : x
  2. Step 2: Convert to fraction form
    7,865.14/11,797.75 = 3,482.64/x
  3. Step 3: Cross multiply
    7,865.14x = 11,797.75 × 3,482.64
  4. Step 4: Simplify right side
    7,865.14x = 41,087,316.06
  5. Step 5: Solve for x
    x = 41,087,316.06/7,865.14
  6. Step 6: Final answer
    x = 5,223.98

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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.