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Finding the Fourth Proportional to 7,827.06, 10,801.17 and 4,290.21

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Solution

The fourth proportional to 7,827.06, 10,801.17 and 4,290.21 is: 5,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.06 : 10,801.17 = 4,290.21 : x
  2. Step 2: Convert to fraction form
    7,827.06/10,801.17 = 4,290.21/x
  3. Step 3: Cross multiply
    7,827.06x = 10,801.17 × 4,290.21
  4. Step 4: Simplify right side
    7,827.06x = 46,339,287.55
  5. Step 5: Solve for x
    x = 46,339,287.55/7,827.06
  6. Step 6: Final answer
    x = 5,920.40

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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.