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Finding the Fourth Proportional to 7,409.59, 11,119.85 and 3,514.03

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Solution

The fourth proportional to 7,409.59, 11,119.85 and 3,514.03 is: 5,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.59 : 11,119.85 = 3,514.03 : x
  2. Step 2: Convert to fraction form
    7,409.59/11,119.85 = 3,514.03/x
  3. Step 3: Cross multiply
    7,409.59x = 11,119.85 × 3,514.03
  4. Step 4: Simplify right side
    7,409.59x = 39,075,486.50
  5. Step 5: Solve for x
    x = 39,075,486.50/7,409.59
  6. Step 6: Final answer
    x = 5,273.64

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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.