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Finding the Fourth Proportional to 13,984.02, 19,298.34 and 7,611

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Solution

The fourth proportional to 13,984.02, 19,298.34 and 7,611 is: 10,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.02 : 19,298.34 = 7,611 : x
  2. Step 2: Convert to fraction form
    13,984.02/19,298.34 = 7,611/x
  3. Step 3: Cross multiply
    13,984.02x = 19,298.34 × 7,611
  4. Step 4: Simplify right side
    13,984.02x = 146,879,665.74
  5. Step 5: Solve for x
    x = 146,879,665.74/13,984.02
  6. Step 6: Final answer
    x = 10,503.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.