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Finding the Fourth Proportional to 8,422.44, 11,623.01 and 4,645.74

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Solution

The fourth proportional to 8,422.44, 11,623.01 and 4,645.74 is: 6,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.44 : 11,623.01 = 4,645.74 : x
  2. Step 2: Convert to fraction form
    8,422.44/11,623.01 = 4,645.74/x
  3. Step 3: Cross multiply
    8,422.44x = 11,623.01 × 4,645.74
  4. Step 4: Simplify right side
    8,422.44x = 53,997,482.48
  5. Step 5: Solve for x
    x = 53,997,482.48/8,422.44
  6. Step 6: Final answer
    x = 6,411.14

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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.