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Finding the Fourth Proportional to 7,821.23, 11,723.63 and 5,738.10

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Solution

The fourth proportional to 7,821.23, 11,723.63 and 5,738.10 is: 8,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.23 : 11,723.63 = 5,738.10 : x
  2. Step 2: Convert to fraction form
    7,821.23/11,723.63 = 5,738.10/x
  3. Step 3: Cross multiply
    7,821.23x = 11,723.63 × 5,738.10
  4. Step 4: Simplify right side
    7,821.23x = 67,271,332.61
  5. Step 5: Solve for x
    x = 67,271,332.61/7,821.23
  6. Step 6: Final answer
    x = 8,601.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.