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Finding the Fourth Proportional to 7,256.83, 10,872.69 and 5,706.76

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Solution

The fourth proportional to 7,256.83, 10,872.69 and 5,706.76 is: 8,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.83 : 10,872.69 = 5,706.76 : x
  2. Step 2: Convert to fraction form
    7,256.83/10,872.69 = 5,706.76/x
  3. Step 3: Cross multiply
    7,256.83x = 10,872.69 × 5,706.76
  4. Step 4: Simplify right side
    7,256.83x = 62,047,832.38
  5. Step 5: Solve for x
    x = 62,047,832.38/7,256.83
  6. Step 6: Final answer
    x = 8,550.27

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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.