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Finding the Fourth Proportional to 7,592.50, 11,389.96 and 3,210

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Solution

The fourth proportional to 7,592.50, 11,389.96 and 3,210 is: 4,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.50 : 11,389.96 = 3,210 : x
  2. Step 2: Convert to fraction form
    7,592.50/11,389.96 = 3,210/x
  3. Step 3: Cross multiply
    7,592.50x = 11,389.96 × 3,210
  4. Step 4: Simplify right side
    7,592.50x = 36,561,771.60
  5. Step 5: Solve for x
    x = 36,561,771.60/7,592.50
  6. Step 6: Final answer
    x = 4,815.51

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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.