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Finding the Fourth Proportional to 7,846.56, 10,825.74 and 7,098.12

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Solution

The fourth proportional to 7,846.56, 10,825.74 and 7,098.12 is: 9,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.56 : 10,825.74 = 7,098.12 : x
  2. Step 2: Convert to fraction form
    7,846.56/10,825.74 = 7,098.12/x
  3. Step 3: Cross multiply
    7,846.56x = 10,825.74 × 7,098.12
  4. Step 4: Simplify right side
    7,846.56x = 76,842,401.61
  5. Step 5: Solve for x
    x = 76,842,401.61/7,846.56
  6. Step 6: Final answer
    x = 9,793.13

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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.