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Finding the Fourth Proportional to 7,328.75, 10,993.14 and 3,435.89

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Solution

The fourth proportional to 7,328.75, 10,993.14 and 3,435.89 is: 5,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.75 : 10,993.14 = 3,435.89 : x
  2. Step 2: Convert to fraction form
    7,328.75/10,993.14 = 3,435.89/x
  3. Step 3: Cross multiply
    7,328.75x = 10,993.14 × 3,435.89
  4. Step 4: Simplify right side
    7,328.75x = 37,771,164.83
  5. Step 5: Solve for x
    x = 37,771,164.83/7,328.75
  6. Step 6: Final answer
    x = 5,153.84

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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.