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Finding the Fourth Proportional to 7,235.16, 10,852.71 and 2,305.19

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Solution

The fourth proportional to 7,235.16, 10,852.71 and 2,305.19 is: 3,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.16 : 10,852.71 = 2,305.19 : x
  2. Step 2: Convert to fraction form
    7,235.16/10,852.71 = 2,305.19/x
  3. Step 3: Cross multiply
    7,235.16x = 10,852.71 × 2,305.19
  4. Step 4: Simplify right side
    7,235.16x = 25,017,583.54
  5. Step 5: Solve for x
    x = 25,017,583.54/7,235.16
  6. Step 6: Final answer
    x = 3,457.78

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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.