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Finding the Fourth Proportional to 7,205.40, 10,804.16 and 3,252.02

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Solution

The fourth proportional to 7,205.40, 10,804.16 and 3,252.02 is: 4,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.40 : 10,804.16 = 3,252.02 : x
  2. Step 2: Convert to fraction form
    7,205.40/10,804.16 = 3,252.02/x
  3. Step 3: Cross multiply
    7,205.40x = 10,804.16 × 3,252.02
  4. Step 4: Simplify right side
    7,205.40x = 35,135,298.51
  5. Step 5: Solve for x
    x = 35,135,298.51/7,205.40
  6. Step 6: Final answer
    x = 4,876.25

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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.