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Finding the Fourth Proportional to 7,862.42, 10,846.20 and 4,674.26

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Solution

The fourth proportional to 7,862.42, 10,846.20 and 4,674.26 is: 6,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.42 : 10,846.20 = 4,674.26 : x
  2. Step 2: Convert to fraction form
    7,862.42/10,846.20 = 4,674.26/x
  3. Step 3: Cross multiply
    7,862.42x = 10,846.20 × 4,674.26
  4. Step 4: Simplify right side
    7,862.42x = 50,697,958.81
  5. Step 5: Solve for x
    x = 50,697,958.81/7,862.42
  6. Step 6: Final answer
    x = 6,448.14

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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.