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Finding the Fourth Proportional to 10,586.54, 14,609.74 and 6,110.48

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Solution

The fourth proportional to 10,586.54, 14,609.74 and 6,110.48 is: 8,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.54 : 14,609.74 = 6,110.48 : x
  2. Step 2: Convert to fraction form
    10,586.54/14,609.74 = 6,110.48/x
  3. Step 3: Cross multiply
    10,586.54x = 14,609.74 × 6,110.48
  4. Step 4: Simplify right side
    10,586.54x = 89,272,524.08
  5. Step 5: Solve for x
    x = 89,272,524.08/10,586.54
  6. Step 6: Final answer
    x = 8,432.64

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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.