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Finding the Fourth Proportional to 7,762.50, 11,640.33 and 2,214.58

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Solution

The fourth proportional to 7,762.50, 11,640.33 and 2,214.58 is: 3,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.50 : 11,640.33 = 2,214.58 : x
  2. Step 2: Convert to fraction form
    7,762.50/11,640.33 = 2,214.58/x
  3. Step 3: Cross multiply
    7,762.50x = 11,640.33 × 2,214.58
  4. Step 4: Simplify right side
    7,762.50x = 25,778,442.01
  5. Step 5: Solve for x
    x = 25,778,442.01/7,762.50
  6. Step 6: Final answer
    x = 3,320.89

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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.