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Finding the Fourth Proportional to 8,130.83, 11,218.64 and 4,946.31

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Solution

The fourth proportional to 8,130.83, 11,218.64 and 4,946.31 is: 6,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.83 : 11,218.64 = 4,946.31 : x
  2. Step 2: Convert to fraction form
    8,130.83/11,218.64 = 4,946.31/x
  3. Step 3: Cross multiply
    8,130.83x = 11,218.64 × 4,946.31
  4. Step 4: Simplify right side
    8,130.83x = 55,490,846.49
  5. Step 5: Solve for x
    x = 55,490,846.49/8,130.83
  6. Step 6: Final answer
    x = 6,824.75

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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.