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Finding the Fourth Proportional to 8,429.61, 11,604.29 and 7,243.77

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Solution

The fourth proportional to 8,429.61, 11,604.29 and 7,243.77 is: 9,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.61 : 11,604.29 = 7,243.77 : x
  2. Step 2: Convert to fraction form
    8,429.61/11,604.29 = 7,243.77/x
  3. Step 3: Cross multiply
    8,429.61x = 11,604.29 × 7,243.77
  4. Step 4: Simplify right side
    8,429.61x = 84,058,771.55
  5. Step 5: Solve for x
    x = 84,058,771.55/8,429.61
  6. Step 6: Final answer
    x = 9,971.85

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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.