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Finding the Fourth Proportional to 8,422.76, 11,623.29 and 4,886.57

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Solution

The fourth proportional to 8,422.76, 11,623.29 and 4,886.57 is: 6,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.76 : 11,623.29 = 4,886.57 : x
  2. Step 2: Convert to fraction form
    8,422.76/11,623.29 = 4,886.57/x
  3. Step 3: Cross multiply
    8,422.76x = 11,623.29 × 4,886.57
  4. Step 4: Simplify right side
    8,422.76x = 56,798,020.22
  5. Step 5: Solve for x
    x = 56,798,020.22/8,422.76
  6. Step 6: Final answer
    x = 6,743.40

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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.