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Finding the Fourth Proportional to 10,586.13, 14,608.62 and 6,109.76

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Solution

The fourth proportional to 10,586.13, 14,608.62 and 6,109.76 is: 8,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.13 : 14,608.62 = 6,109.76 : x
  2. Step 2: Convert to fraction form
    10,586.13/14,608.62 = 6,109.76/x
  3. Step 3: Cross multiply
    10,586.13x = 14,608.62 × 6,109.76
  4. Step 4: Simplify right side
    10,586.13x = 89,255,089.09
  5. Step 5: Solve for x
    x = 89,255,089.09/10,586.13
  6. Step 6: Final answer
    x = 8,431.32

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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.