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Finding the Fourth Proportional to 11,617.44, 16,034.61 and 7,638.93

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Solution

The fourth proportional to 11,617.44, 16,034.61 and 7,638.93 is: 10,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.44 : 16,034.61 = 7,638.93 : x
  2. Step 2: Convert to fraction form
    11,617.44/16,034.61 = 7,638.93/x
  3. Step 3: Cross multiply
    11,617.44x = 16,034.61 × 7,638.93
  4. Step 4: Simplify right side
    11,617.44x = 122,487,263.37
  5. Step 5: Solve for x
    x = 122,487,263.37/11,617.44
  6. Step 6: Final answer
    x = 10,543.40

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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.