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Finding the Fourth Proportional to 8,300.79, 11,447.13 and 6,409.35

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Solution

The fourth proportional to 8,300.79, 11,447.13 and 6,409.35 is: 8,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.79 : 11,447.13 = 6,409.35 : x
  2. Step 2: Convert to fraction form
    8,300.79/11,447.13 = 6,409.35/x
  3. Step 3: Cross multiply
    8,300.79x = 11,447.13 × 6,409.35
  4. Step 4: Simplify right side
    8,300.79x = 73,368,662.67
  5. Step 5: Solve for x
    x = 73,368,662.67/8,300.79
  6. Step 6: Final answer
    x = 8,838.76

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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.