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Finding the Fourth Proportional to 11,856.44, 16,362.51 and 7,075.82

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Solution

The fourth proportional to 11,856.44, 16,362.51 and 7,075.82 is: 9,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.44 : 16,362.51 = 7,075.82 : x
  2. Step 2: Convert to fraction form
    11,856.44/16,362.51 = 7,075.82/x
  3. Step 3: Cross multiply
    11,856.44x = 16,362.51 × 7,075.82
  4. Step 4: Simplify right side
    11,856.44x = 115,778,189.88
  5. Step 5: Solve for x
    x = 115,778,189.88/11,856.44
  6. Step 6: Final answer
    x = 9,765.00

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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.