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Finding the Fourth Proportional to 11,471.82, 15,830.86 and 6,435.95

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Solution

The fourth proportional to 11,471.82, 15,830.86 and 6,435.95 is: 8,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.82 : 15,830.86 = 6,435.95 : x
  2. Step 2: Convert to fraction form
    11,471.82/15,830.86 = 6,435.95/x
  3. Step 3: Cross multiply
    11,471.82x = 15,830.86 × 6,435.95
  4. Step 4: Simplify right side
    11,471.82x = 101,886,512.08
  5. Step 5: Solve for x
    x = 101,886,512.08/11,471.82
  6. Step 6: Final answer
    x = 8,881.46

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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.