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Finding the Fourth Proportional to 7,884.99, 11,830.23 and 3,505.53

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Solution

The fourth proportional to 7,884.99, 11,830.23 and 3,505.53 is: 5,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.99 : 11,830.23 = 3,505.53 : x
  2. Step 2: Convert to fraction form
    7,884.99/11,830.23 = 3,505.53/x
  3. Step 3: Cross multiply
    7,884.99x = 11,830.23 × 3,505.53
  4. Step 4: Simplify right side
    7,884.99x = 41,471,226.17
  5. Step 5: Solve for x
    x = 41,471,226.17/7,884.99
  6. Step 6: Final answer
    x = 5,259.52

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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.