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Finding the Fourth Proportional to 8,180.64, 11,290.74 and 4,823.24

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Solution

The fourth proportional to 8,180.64, 11,290.74 and 4,823.24 is: 6,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.64 : 11,290.74 = 4,823.24 : x
  2. Step 2: Convert to fraction form
    8,180.64/11,290.74 = 4,823.24/x
  3. Step 3: Cross multiply
    8,180.64x = 11,290.74 × 4,823.24
  4. Step 4: Simplify right side
    8,180.64x = 54,457,948.80
  5. Step 5: Solve for x
    x = 54,457,948.80/8,180.64
  6. Step 6: Final answer
    x = 6,656.93

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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.