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Finding the Fourth Proportional to 7,480.54, 11,213.52 and 3,784.51

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Solution

The fourth proportional to 7,480.54, 11,213.52 and 3,784.51 is: 5,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.54 : 11,213.52 = 3,784.51 : x
  2. Step 2: Convert to fraction form
    7,480.54/11,213.52 = 3,784.51/x
  3. Step 3: Cross multiply
    7,480.54x = 11,213.52 × 3,784.51
  4. Step 4: Simplify right side
    7,480.54x = 42,437,678.58
  5. Step 5: Solve for x
    x = 42,437,678.58/7,480.54
  6. Step 6: Final answer
    x = 5,673.08

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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.