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Finding the Fourth Proportional to 10,205.79, 14,084.04 and 5,729.73

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Solution

The fourth proportional to 10,205.79, 14,084.04 and 5,729.73 is: 7,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.79 : 14,084.04 = 5,729.73 : x
  2. Step 2: Convert to fraction form
    10,205.79/14,084.04 = 5,729.73/x
  3. Step 3: Cross multiply
    10,205.79x = 14,084.04 × 5,729.73
  4. Step 4: Simplify right side
    10,205.79x = 80,697,746.51
  5. Step 5: Solve for x
    x = 80,697,746.51/10,205.79
  6. Step 6: Final answer
    x = 7,907.06

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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.