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Finding the Fourth Proportional to 8,289.77, 12,430.04 and 4,331.12

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Solution

The fourth proportional to 8,289.77, 12,430.04 and 4,331.12 is: 6,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.77 : 12,430.04 = 4,331.12 : x
  2. Step 2: Convert to fraction form
    8,289.77/12,430.04 = 4,331.12/x
  3. Step 3: Cross multiply
    8,289.77x = 12,430.04 × 4,331.12
  4. Step 4: Simplify right side
    8,289.77x = 53,835,911.04
  5. Step 5: Solve for x
    x = 53,835,911.04/8,289.77
  6. Step 6: Final answer
    x = 6,494.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.