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Finding the Fourth Proportional to 7,239.85, 10,852.84 and 2,306.77

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Solution

The fourth proportional to 7,239.85, 10,852.84 and 2,306.77 is: 3,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.85 : 10,852.84 = 2,306.77 : x
  2. Step 2: Convert to fraction form
    7,239.85/10,852.84 = 2,306.77/x
  3. Step 3: Cross multiply
    7,239.85x = 10,852.84 × 2,306.77
  4. Step 4: Simplify right side
    7,239.85x = 25,035,005.73
  5. Step 5: Solve for x
    x = 25,035,005.73/7,239.85
  6. Step 6: Final answer
    x = 3,457.95

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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.