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Finding the Fourth Proportional to 13,092.84, 19,627.11 and 6,848.96

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Solution

The fourth proportional to 13,092.84, 19,627.11 and 6,848.96 is: 10,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.84 : 19,627.11 = 6,848.96 : x
  2. Step 2: Convert to fraction form
    13,092.84/19,627.11 = 6,848.96/x
  3. Step 3: Cross multiply
    13,092.84x = 19,627.11 × 6,848.96
  4. Step 4: Simplify right side
    13,092.84x = 134,425,193.17
  5. Step 5: Solve for x
    x = 134,425,193.17/13,092.84
  6. Step 6: Final answer
    x = 10,267.08

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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.