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Finding the Fourth Proportional to 10,688.66, 14,749.92 and 6,212.19

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Solution

The fourth proportional to 10,688.66, 14,749.92 and 6,212.19 is: 8,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.66 : 14,749.92 = 6,212.19 : x
  2. Step 2: Convert to fraction form
    10,688.66/14,749.92 = 6,212.19/x
  3. Step 3: Cross multiply
    10,688.66x = 14,749.92 × 6,212.19
  4. Step 4: Simplify right side
    10,688.66x = 91,629,305.52
  5. Step 5: Solve for x
    x = 91,629,305.52/10,688.66
  6. Step 6: Final answer
    x = 8,572.58

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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.