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Finding the Fourth Proportional to 10,618.12, 14,652.90 and 5,902.30

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Solution

The fourth proportional to 10,618.12, 14,652.90 and 5,902.30 is: 8,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.12 : 14,652.90 = 5,902.30 : x
  2. Step 2: Convert to fraction form
    10,618.12/14,652.90 = 5,902.30/x
  3. Step 3: Cross multiply
    10,618.12x = 14,652.90 × 5,902.30
  4. Step 4: Simplify right side
    10,618.12x = 86,485,811.67
  5. Step 5: Solve for x
    x = 86,485,811.67/10,618.12
  6. Step 6: Final answer
    x = 8,145.12

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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.