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Finding the Fourth Proportional to 8,402.44, 12,598.74 and 2,853.94

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Solution

The fourth proportional to 8,402.44, 12,598.74 and 2,853.94 is: 4,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.44 : 12,598.74 = 2,853.94 : x
  2. Step 2: Convert to fraction form
    8,402.44/12,598.74 = 2,853.94/x
  3. Step 3: Cross multiply
    8,402.44x = 12,598.74 × 2,853.94
  4. Step 4: Simplify right side
    8,402.44x = 35,956,048.04
  5. Step 5: Solve for x
    x = 35,956,048.04/8,402.44
  6. Step 6: Final answer
    x = 4,279.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.