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Finding the Fourth Proportional to 8,129.68, 11,214.50 and 5,607.34

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Solution

The fourth proportional to 8,129.68, 11,214.50 and 5,607.34 is: 7,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.68 : 11,214.50 = 5,607.34 : x
  2. Step 2: Convert to fraction form
    8,129.68/11,214.50 = 5,607.34/x
  3. Step 3: Cross multiply
    8,129.68x = 11,214.50 × 5,607.34
  4. Step 4: Simplify right side
    8,129.68x = 62,883,514.43
  5. Step 5: Solve for x
    x = 62,883,514.43/8,129.68
  6. Step 6: Final answer
    x = 7,735.05

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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.