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Finding the Fourth Proportional to 7,814.16, 11,712.96 and 2,813.20

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Solution

The fourth proportional to 7,814.16, 11,712.96 and 2,813.20 is: 4,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.16 : 11,712.96 = 2,813.20 : x
  2. Step 2: Convert to fraction form
    7,814.16/11,712.96 = 2,813.20/x
  3. Step 3: Cross multiply
    7,814.16x = 11,712.96 × 2,813.20
  4. Step 4: Simplify right side
    7,814.16x = 32,950,899.07
  5. Step 5: Solve for x
    x = 32,950,899.07/7,814.16
  6. Step 6: Final answer
    x = 4,216.82

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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.