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Finding the Fourth Proportional to 10,638.76, 14,682.32 and 6,162.58

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Solution

The fourth proportional to 10,638.76, 14,682.32 and 6,162.58 is: 8,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.76 : 14,682.32 = 6,162.58 : x
  2. Step 2: Convert to fraction form
    10,638.76/14,682.32 = 6,162.58/x
  3. Step 3: Cross multiply
    10,638.76x = 14,682.32 × 6,162.58
  4. Step 4: Simplify right side
    10,638.76x = 90,480,971.59
  5. Step 5: Solve for x
    x = 90,480,971.59/10,638.76
  6. Step 6: Final answer
    x = 8,504.84

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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.