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Finding the Fourth Proportional to 7,684.16, 11,518.95 and 3,784.01

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Solution

The fourth proportional to 7,684.16, 11,518.95 and 3,784.01 is: 5,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.16 : 11,518.95 = 3,784.01 : x
  2. Step 2: Convert to fraction form
    7,684.16/11,518.95 = 3,784.01/x
  3. Step 3: Cross multiply
    7,684.16x = 11,518.95 × 3,784.01
  4. Step 4: Simplify right side
    7,684.16x = 43,587,821.99
  5. Step 5: Solve for x
    x = 43,587,821.99/7,684.16
  6. Step 6: Final answer
    x = 5,672.43

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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.