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Finding the Fourth Proportional to 11,886.04, 16,477.78 and 11,254

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Solution

The fourth proportional to 11,886.04, 16,477.78 and 11,254 is: 15,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.04 : 16,477.78 = 11,254 : x
  2. Step 2: Convert to fraction form
    11,886.04/16,477.78 = 11,254/x
  3. Step 3: Cross multiply
    11,886.04x = 16,477.78 × 11,254
  4. Step 4: Simplify right side
    11,886.04x = 185,440,936.12
  5. Step 5: Solve for x
    x = 185,440,936.12/11,886.04
  6. Step 6: Final answer
    x = 15,601.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.