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Finding the Fourth Proportional to 7,827.33, 10,801.47 and 4,290.47

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Solution

The fourth proportional to 7,827.33, 10,801.47 and 4,290.47 is: 5,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.33 : 10,801.47 = 4,290.47 : x
  2. Step 2: Convert to fraction form
    7,827.33/10,801.47 = 4,290.47/x
  3. Step 3: Cross multiply
    7,827.33x = 10,801.47 × 4,290.47
  4. Step 4: Simplify right side
    7,827.33x = 46,343,328.98
  5. Step 5: Solve for x
    x = 46,343,328.98/7,827.33
  6. Step 6: Final answer
    x = 5,920.71

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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.