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Finding the Fourth Proportional to 7,864.10, 10,846.76 and 5,341.80

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Solution

The fourth proportional to 7,864.10, 10,846.76 and 5,341.80 is: 7,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.10 : 10,846.76 = 5,341.80 : x
  2. Step 2: Convert to fraction form
    7,864.10/10,846.76 = 5,341.80/x
  3. Step 3: Cross multiply
    7,864.10x = 10,846.76 × 5,341.80
  4. Step 4: Simplify right side
    7,864.10x = 57,941,195.86
  5. Step 5: Solve for x
    x = 57,941,195.86/7,864.10
  6. Step 6: Final answer
    x = 7,367.81

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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.