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Finding the Fourth Proportional to 8,366.64, 11,546.28 and 4,641.36

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Solution

The fourth proportional to 8,366.64, 11,546.28 and 4,641.36 is: 6,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.64 : 11,546.28 = 4,641.36 : x
  2. Step 2: Convert to fraction form
    8,366.64/11,546.28 = 4,641.36/x
  3. Step 3: Cross multiply
    8,366.64x = 11,546.28 × 4,641.36
  4. Step 4: Simplify right side
    8,366.64x = 53,590,442.14
  5. Step 5: Solve for x
    x = 53,590,442.14/8,366.64
  6. Step 6: Final answer
    x = 6,405.25

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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.