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Finding the Fourth Proportional to 7,785.84, 11,676.33 and 2,590.50

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Solution

The fourth proportional to 7,785.84, 11,676.33 and 2,590.50 is: 3,884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.84 : 11,676.33 = 2,590.50 : x
  2. Step 2: Convert to fraction form
    7,785.84/11,676.33 = 2,590.50/x
  3. Step 3: Cross multiply
    7,785.84x = 11,676.33 × 2,590.50
  4. Step 4: Simplify right side
    7,785.84x = 30,247,532.87
  5. Step 5: Solve for x
    x = 30,247,532.87/7,785.84
  6. Step 6: Final answer
    x = 3,884.94

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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.