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Finding the Fourth Proportional to 7,846.02, 10,814.04 and 7,476.93

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Solution

The fourth proportional to 7,846.02, 10,814.04 and 7,476.93 is: 10,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.02 : 10,814.04 = 7,476.93 : x
  2. Step 2: Convert to fraction form
    7,846.02/10,814.04 = 7,476.93/x
  3. Step 3: Cross multiply
    7,846.02x = 10,814.04 × 7,476.93
  4. Step 4: Simplify right side
    7,846.02x = 80,855,820.10
  5. Step 5: Solve for x
    x = 80,855,820.10/7,846.02
  6. Step 6: Final answer
    x = 10,305.33

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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.