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Finding the Fourth Proportional to 7,205.20, 10,807.59 and 3,938.98

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Solution

The fourth proportional to 7,205.20, 10,807.59 and 3,938.98 is: 5,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.20 : 10,807.59 = 3,938.98 : x
  2. Step 2: Convert to fraction form
    7,205.20/10,807.59 = 3,938.98/x
  3. Step 3: Cross multiply
    7,205.20x = 10,807.59 × 3,938.98
  4. Step 4: Simplify right side
    7,205.20x = 42,570,826.82
  5. Step 5: Solve for x
    x = 42,570,826.82/7,205.20
  6. Step 6: Final answer
    x = 5,908.35

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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.