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Finding the Fourth Proportional to 7,225.94, 10,828.50 and 4,257.38

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Solution

The fourth proportional to 7,225.94, 10,828.50 and 4,257.38 is: 6,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.94 : 10,828.50 = 4,257.38 : x
  2. Step 2: Convert to fraction form
    7,225.94/10,828.50 = 4,257.38/x
  3. Step 3: Cross multiply
    7,225.94x = 10,828.50 × 4,257.38
  4. Step 4: Simplify right side
    7,225.94x = 46,100,985.19
  5. Step 5: Solve for x
    x = 46,100,985.19/7,225.94
  6. Step 6: Final answer
    x = 6,379.93

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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.