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Finding the Fourth Proportional to 8,116, 11,200.08 and 4,390

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Solution

The fourth proportional to 8,116, 11,200.08 and 4,390 is: 6,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116 : 11,200.08 = 4,390 : x
  2. Step 2: Convert to fraction form
    8,116/11,200.08 = 4,390/x
  3. Step 3: Cross multiply
    8,116x = 11,200.08 × 4,390
  4. Step 4: Simplify right side
    8,116x = 49,168,351.20
  5. Step 5: Solve for x
    x = 49,168,351.20/8,116
  6. Step 6: Final answer
    x = 6,058.20

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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.