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Finding the Fourth Proportional to 11,518.75, 15,896.70 and 6,483.46

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Solution

The fourth proportional to 11,518.75, 15,896.70 and 6,483.46 is: 8,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.75 : 15,896.70 = 6,483.46 : x
  2. Step 2: Convert to fraction form
    11,518.75/15,896.70 = 6,483.46/x
  3. Step 3: Cross multiply
    11,518.75x = 15,896.70 × 6,483.46
  4. Step 4: Simplify right side
    11,518.75x = 103,065,618.58
  5. Step 5: Solve for x
    x = 103,065,618.58/11,518.75
  6. Step 6: Final answer
    x = 8,947.64

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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.