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Finding the Fourth Proportional to 10,570.22, 14,586.86 and 6,093.95

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Solution

The fourth proportional to 10,570.22, 14,586.86 and 6,093.95 is: 8,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.22 : 14,586.86 = 6,093.95 : x
  2. Step 2: Convert to fraction form
    10,570.22/14,586.86 = 6,093.95/x
  3. Step 3: Cross multiply
    10,570.22x = 14,586.86 × 6,093.95
  4. Step 4: Simplify right side
    10,570.22x = 88,891,537.80
  5. Step 5: Solve for x
    x = 88,891,537.80/10,570.22
  6. Step 6: Final answer
    x = 8,409.62

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