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Finding the Fourth Proportional to 10,586.52, 14,610.06 and 6,111.09

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Solution

The fourth proportional to 10,586.52, 14,610.06 and 6,111.09 is: 8,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.52 : 14,610.06 = 6,111.09 : x
  2. Step 2: Convert to fraction form
    10,586.52/14,610.06 = 6,111.09/x
  3. Step 3: Cross multiply
    10,586.52x = 14,610.06 × 6,111.09
  4. Step 4: Simplify right side
    10,586.52x = 89,283,391.57
  5. Step 5: Solve for x
    x = 89,283,391.57/10,586.52
  6. Step 6: Final answer
    x = 8,433.69

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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.