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Finding the Fourth Proportional to 7,066.26, 10,602.36 and 3,559.50

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Solution

The fourth proportional to 7,066.26, 10,602.36 and 3,559.50 is: 5,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.26 : 10,602.36 = 3,559.50 : x
  2. Step 2: Convert to fraction form
    7,066.26/10,602.36 = 3,559.50/x
  3. Step 3: Cross multiply
    7,066.26x = 10,602.36 × 3,559.50
  4. Step 4: Simplify right side
    7,066.26x = 37,739,100.42
  5. Step 5: Solve for x
    x = 37,739,100.42/7,066.26
  6. Step 6: Final answer
    x = 5,340.75

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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.