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Finding the Fourth Proportional to 11,888.83, 16,409.18 and 7,856.34

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Solution

The fourth proportional to 11,888.83, 16,409.18 and 7,856.34 is: 10,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.83 : 16,409.18 = 7,856.34 : x
  2. Step 2: Convert to fraction form
    11,888.83/16,409.18 = 7,856.34/x
  3. Step 3: Cross multiply
    11,888.83x = 16,409.18 × 7,856.34
  4. Step 4: Simplify right side
    11,888.83x = 128,916,147.61
  5. Step 5: Solve for x
    x = 128,916,147.61/11,888.83
  6. Step 6: Final answer
    x = 10,843.47

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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.