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Finding the Fourth Proportional to 10,618.64, 14,652.60 and 6,141.68

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Solution

The fourth proportional to 10,618.64, 14,652.60 and 6,141.68 is: 8,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.64 : 14,652.60 = 6,141.68 : x
  2. Step 2: Convert to fraction form
    10,618.64/14,652.60 = 6,141.68/x
  3. Step 3: Cross multiply
    10,618.64x = 14,652.60 × 6,141.68
  4. Step 4: Simplify right side
    10,618.64x = 89,991,580.37
  5. Step 5: Solve for x
    x = 89,991,580.37/10,618.64
  6. Step 6: Final answer
    x = 8,474.87

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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.