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Finding the Fourth Proportional to 7,630.50, 11,421.78 and 4,860.30

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Solution

The fourth proportional to 7,630.50, 11,421.78 and 4,860.30 is: 7,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.50 : 11,421.78 = 4,860.30 : x
  2. Step 2: Convert to fraction form
    7,630.50/11,421.78 = 4,860.30/x
  3. Step 3: Cross multiply
    7,630.50x = 11,421.78 × 4,860.30
  4. Step 4: Simplify right side
    7,630.50x = 55,513,277.33
  5. Step 5: Solve for x
    x = 55,513,277.33/7,630.50
  6. Step 6: Final answer
    x = 7,275.18

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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.