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Finding the Fourth Proportional to 10,186.85, 15,303.62 and 6,029.73

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Solution

The fourth proportional to 10,186.85, 15,303.62 and 6,029.73 is: 9,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.85 : 15,303.62 = 6,029.73 : x
  2. Step 2: Convert to fraction form
    10,186.85/15,303.62 = 6,029.73/x
  3. Step 3: Cross multiply
    10,186.85x = 15,303.62 × 6,029.73
  4. Step 4: Simplify right side
    10,186.85x = 92,276,696.62
  5. Step 5: Solve for x
    x = 92,276,696.62/10,186.85
  6. Step 6: Final answer
    x = 9,058.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.