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Finding the Fourth Proportional to 10,586.34, 14,608.08 and 6,111.53

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Solution

The fourth proportional to 10,586.34, 14,608.08 and 6,111.53 is: 8,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.34 : 14,608.08 = 6,111.53 : x
  2. Step 2: Convert to fraction form
    10,586.34/14,608.08 = 6,111.53/x
  3. Step 3: Cross multiply
    10,586.34x = 14,608.08 × 6,111.53
  4. Step 4: Simplify right side
    10,586.34x = 89,277,659.82
  5. Step 5: Solve for x
    x = 89,277,659.82/10,586.34
  6. Step 6: Final answer
    x = 8,433.29

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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.