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Finding the Fourth Proportional to 11,661.52, 16,088.88 and 8,123.44

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Solution

The fourth proportional to 11,661.52, 16,088.88 and 8,123.44 is: 11,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.52 : 16,088.88 = 8,123.44 : x
  2. Step 2: Convert to fraction form
    11,661.52/16,088.88 = 8,123.44/x
  3. Step 3: Cross multiply
    11,661.52x = 16,088.88 × 8,123.44
  4. Step 4: Simplify right side
    11,661.52x = 130,697,051.35
  5. Step 5: Solve for x
    x = 130,697,051.35/11,661.52
  6. Step 6: Final answer
    x = 11,207.55

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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.