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Finding the Fourth Proportional to 11,743.61, 16,106.95 and 11,108.16

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Solution

The fourth proportional to 11,743.61, 16,106.95 and 11,108.16 is: 15,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.61 : 16,106.95 = 11,108.16 : x
  2. Step 2: Convert to fraction form
    11,743.61/16,106.95 = 11,108.16/x
  3. Step 3: Cross multiply
    11,743.61x = 16,106.95 × 11,108.16
  4. Step 4: Simplify right side
    11,743.61x = 178,918,549.94
  5. Step 5: Solve for x
    x = 178,918,549.94/11,743.61
  6. Step 6: Final answer
    x = 15,235.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.