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Finding the Fourth Proportional to 10,620.96, 14,655.20 and 5,905.12

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Solution

The fourth proportional to 10,620.96, 14,655.20 and 5,905.12 is: 8,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.96 : 14,655.20 = 5,905.12 : x
  2. Step 2: Convert to fraction form
    10,620.96/14,655.20 = 5,905.12/x
  3. Step 3: Cross multiply
    10,620.96x = 14,655.20 × 5,905.12
  4. Step 4: Simplify right side
    10,620.96x = 86,540,714.62
  5. Step 5: Solve for x
    x = 86,540,714.62/10,620.96
  6. Step 6: Final answer
    x = 8,148.11

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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.