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Finding the Fourth Proportional to 8,090.58, 11,164.32 and 4,946.16

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Solution

The fourth proportional to 8,090.58, 11,164.32 and 4,946.16 is: 6,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.58 : 11,164.32 = 4,946.16 : x
  2. Step 2: Convert to fraction form
    8,090.58/11,164.32 = 4,946.16/x
  3. Step 3: Cross multiply
    8,090.58x = 11,164.32 × 4,946.16
  4. Step 4: Simplify right side
    8,090.58x = 55,220,513.01
  5. Step 5: Solve for x
    x = 55,220,513.01/8,090.58
  6. Step 6: Final answer
    x = 6,825.28

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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.