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Finding the Fourth Proportional to 10,583.87, 14,601.87 and 6,335.06

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Solution

The fourth proportional to 10,583.87, 14,601.87 and 6,335.06 is: 8,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.87 : 14,601.87 = 6,335.06 : x
  2. Step 2: Convert to fraction form
    10,583.87/14,601.87 = 6,335.06/x
  3. Step 3: Cross multiply
    10,583.87x = 14,601.87 × 6,335.06
  4. Step 4: Simplify right side
    10,583.87x = 92,503,649.55
  5. Step 5: Solve for x
    x = 92,503,649.55/10,583.87
  6. Step 6: Final answer
    x = 8,740.06

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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.