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Finding the Fourth Proportional to 7,280.65, 10,047.30 and 4,136.83

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Solution

The fourth proportional to 7,280.65, 10,047.30 and 4,136.83 is: 5,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.65 : 10,047.30 = 4,136.83 : x
  2. Step 2: Convert to fraction form
    7,280.65/10,047.30 = 4,136.83/x
  3. Step 3: Cross multiply
    7,280.65x = 10,047.30 × 4,136.83
  4. Step 4: Simplify right side
    7,280.65x = 41,563,972.06
  5. Step 5: Solve for x
    x = 41,563,972.06/7,280.65
  6. Step 6: Final answer
    x = 5,708.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.