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Finding the Fourth Proportional to 7,887, 11,830.62 and 2,415

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Solution

The fourth proportional to 7,887, 11,830.62 and 2,415 is: 3,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887 : 11,830.62 = 2,415 : x
  2. Step 2: Convert to fraction form
    7,887/11,830.62 = 2,415/x
  3. Step 3: Cross multiply
    7,887x = 11,830.62 × 2,415
  4. Step 4: Simplify right side
    7,887x = 28,570,947.30
  5. Step 5: Solve for x
    x = 28,570,947.30/7,887
  6. Step 6: Final answer
    x = 3,622.54

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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.