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Finding the Fourth Proportional to 7,922.34, 11,875.83 and 4,409.13

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Solution

The fourth proportional to 7,922.34, 11,875.83 and 4,409.13 is: 6,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.34 : 11,875.83 = 4,409.13 : x
  2. Step 2: Convert to fraction form
    7,922.34/11,875.83 = 4,409.13/x
  3. Step 3: Cross multiply
    7,922.34x = 11,875.83 × 4,409.13
  4. Step 4: Simplify right side
    7,922.34x = 52,362,131.13
  5. Step 5: Solve for x
    x = 52,362,131.13/7,922.34
  6. Step 6: Final answer
    x = 6,609.43

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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.