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Finding the Fourth Proportional to 7,801.50, 10,771.23 and 4,821.71

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Solution

The fourth proportional to 7,801.50, 10,771.23 and 4,821.71 is: 6,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.50 : 10,771.23 = 4,821.71 : x
  2. Step 2: Convert to fraction form
    7,801.50/10,771.23 = 4,821.71/x
  3. Step 3: Cross multiply
    7,801.50x = 10,771.23 × 4,821.71
  4. Step 4: Simplify right side
    7,801.50x = 51,935,693.55
  5. Step 5: Solve for x
    x = 51,935,693.55/7,801.50
  6. Step 6: Final answer
    x = 6,657.14

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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.