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Finding the Fourth Proportional to 7,827.80, 10,802.34 and 4,291

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Solution

The fourth proportional to 7,827.80, 10,802.34 and 4,291 is: 5,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.80 : 10,802.34 = 4,291 : x
  2. Step 2: Convert to fraction form
    7,827.80/10,802.34 = 4,291/x
  3. Step 3: Cross multiply
    7,827.80x = 10,802.34 × 4,291
  4. Step 4: Simplify right side
    7,827.80x = 46,352,840.94
  5. Step 5: Solve for x
    x = 46,352,840.94/7,827.80
  6. Step 6: Final answer
    x = 5,921.57

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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.