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Finding the Fourth Proportional to 10,740.57, 14,821.98 and 6,026.37

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Solution

The fourth proportional to 10,740.57, 14,821.98 and 6,026.37 is: 8,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.57 : 14,821.98 = 6,026.37 : x
  2. Step 2: Convert to fraction form
    10,740.57/14,821.98 = 6,026.37/x
  3. Step 3: Cross multiply
    10,740.57x = 14,821.98 × 6,026.37
  4. Step 4: Simplify right side
    10,740.57x = 89,322,735.61
  5. Step 5: Solve for x
    x = 89,322,735.61/10,740.57
  6. Step 6: Final answer
    x = 8,316.39

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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.