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Finding the Fourth Proportional to 8,289.12, 11,424.56 and 6,047.30

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Solution

The fourth proportional to 8,289.12, 11,424.56 and 6,047.30 is: 8,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.12 : 11,424.56 = 6,047.30 : x
  2. Step 2: Convert to fraction form
    8,289.12/11,424.56 = 6,047.30/x
  3. Step 3: Cross multiply
    8,289.12x = 11,424.56 × 6,047.30
  4. Step 4: Simplify right side
    8,289.12x = 69,087,741.69
  5. Step 5: Solve for x
    x = 69,087,741.69/8,289.12
  6. Step 6: Final answer
    x = 8,334.75

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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.