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Finding the Fourth Proportional to 8,423.70, 11,624.77 and 4,647.01

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Solution

The fourth proportional to 8,423.70, 11,624.77 and 4,647.01 is: 6,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.70 : 11,624.77 = 4,647.01 : x
  2. Step 2: Convert to fraction form
    8,423.70/11,624.77 = 4,647.01/x
  3. Step 3: Cross multiply
    8,423.70x = 11,624.77 × 4,647.01
  4. Step 4: Simplify right side
    8,423.70x = 54,020,422.44
  5. Step 5: Solve for x
    x = 54,020,422.44/8,423.70
  6. Step 6: Final answer
    x = 6,412.91

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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.