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Finding the Fourth Proportional to 7,367.86, 11,059.08 and 3,475

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Solution

The fourth proportional to 7,367.86, 11,059.08 and 3,475 is: 5,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.86 : 11,059.08 = 3,475 : x
  2. Step 2: Convert to fraction form
    7,367.86/11,059.08 = 3,475/x
  3. Step 3: Cross multiply
    7,367.86x = 11,059.08 × 3,475
  4. Step 4: Simplify right side
    7,367.86x = 38,430,303
  5. Step 5: Solve for x
    x = 38,430,303/7,367.86
  6. Step 6: Final answer
    x = 5,215.94

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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.