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Finding the Fourth Proportional to 11,455.36, 15,804.80 and 6,418.92

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Solution

The fourth proportional to 11,455.36, 15,804.80 and 6,418.92 is: 8,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.36 : 15,804.80 = 6,418.92 : x
  2. Step 2: Convert to fraction form
    11,455.36/15,804.80 = 6,418.92/x
  3. Step 3: Cross multiply
    11,455.36x = 15,804.80 × 6,418.92
  4. Step 4: Simplify right side
    11,455.36x = 101,449,746.82
  5. Step 5: Solve for x
    x = 101,449,746.82/11,455.36
  6. Step 6: Final answer
    x = 8,856.09

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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.