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Finding the Fourth Proportional to 11,886.76, 16,405.64 and 6,783.93

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Solution

The fourth proportional to 11,886.76, 16,405.64 and 6,783.93 is: 9,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.76 : 16,405.64 = 6,783.93 : x
  2. Step 2: Convert to fraction form
    11,886.76/16,405.64 = 6,783.93/x
  3. Step 3: Cross multiply
    11,886.76x = 16,405.64 × 6,783.93
  4. Step 4: Simplify right side
    11,886.76x = 111,294,713.37
  5. Step 5: Solve for x
    x = 111,294,713.37/11,886.76
  6. Step 6: Final answer
    x = 9,362.91

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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.