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Finding the Fourth Proportional to 7,841.79, 10,821.66 and 4,305

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Solution

The fourth proportional to 7,841.79, 10,821.66 and 4,305 is: 5,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.79 : 10,821.66 = 4,305 : x
  2. Step 2: Convert to fraction form
    7,841.79/10,821.66 = 4,305/x
  3. Step 3: Cross multiply
    7,841.79x = 10,821.66 × 4,305
  4. Step 4: Simplify right side
    7,841.79x = 46,587,246.30
  5. Step 5: Solve for x
    x = 46,587,246.30/7,841.79
  6. Step 6: Final answer
    x = 5,940.89

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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.