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Finding the Fourth Proportional to 7,205.63, 10,812.69 and 3,045.40

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Solution

The fourth proportional to 7,205.63, 10,812.69 and 3,045.40 is: 4,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.63 : 10,812.69 = 3,045.40 : x
  2. Step 2: Convert to fraction form
    7,205.63/10,812.69 = 3,045.40/x
  3. Step 3: Cross multiply
    7,205.63x = 10,812.69 × 3,045.40
  4. Step 4: Simplify right side
    7,205.63x = 32,928,939.09
  5. Step 5: Solve for x
    x = 32,928,939.09/7,205.63
  6. Step 6: Final answer
    x = 4,569.89

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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.