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Finding the Fourth Proportional to 10,598.96, 14,633.16 and 8,204.60

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Solution

The fourth proportional to 10,598.96, 14,633.16 and 8,204.60 is: 11,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.96 : 14,633.16 = 8,204.60 : x
  2. Step 2: Convert to fraction form
    10,598.96/14,633.16 = 8,204.60/x
  3. Step 3: Cross multiply
    10,598.96x = 14,633.16 × 8,204.60
  4. Step 4: Simplify right side
    10,598.96x = 120,059,224.54
  5. Step 5: Solve for x
    x = 120,059,224.54/10,598.96
  6. Step 6: Final answer
    x = 11,327.45

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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.