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Finding the Fourth Proportional to 7,202.77, 10,807.35 and 3,045.65

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Solution

The fourth proportional to 7,202.77, 10,807.35 and 3,045.65 is: 4,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.77 : 10,807.35 = 3,045.65 : x
  2. Step 2: Convert to fraction form
    7,202.77/10,807.35 = 3,045.65/x
  3. Step 3: Cross multiply
    7,202.77x = 10,807.35 × 3,045.65
  4. Step 4: Simplify right side
    7,202.77x = 32,915,409.43
  5. Step 5: Solve for x
    x = 32,915,409.43/7,202.77
  6. Step 6: Final answer
    x = 4,569.82

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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.