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Finding the Fourth Proportional to 7,653.90, 11,475.85 and 3,214.40

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Solution

The fourth proportional to 7,653.90, 11,475.85 and 3,214.40 is: 4,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.90 : 11,475.85 = 3,214.40 : x
  2. Step 2: Convert to fraction form
    7,653.90/11,475.85 = 3,214.40/x
  3. Step 3: Cross multiply
    7,653.90x = 11,475.85 × 3,214.40
  4. Step 4: Simplify right side
    7,653.90x = 36,887,986.44
  5. Step 5: Solve for x
    x = 36,887,986.44/7,653.90
  6. Step 6: Final answer
    x = 4,819.50

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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.