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Finding the Fourth Proportional to 11,054.92, 15,257.64 and 7,075.84

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Solution

The fourth proportional to 11,054.92, 15,257.64 and 7,075.84 is: 9,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.92 : 15,257.64 = 7,075.84 : x
  2. Step 2: Convert to fraction form
    11,054.92/15,257.64 = 7,075.84/x
  3. Step 3: Cross multiply
    11,054.92x = 15,257.64 × 7,075.84
  4. Step 4: Simplify right side
    11,054.92x = 107,960,619.42
  5. Step 5: Solve for x
    x = 107,960,619.42/11,054.92
  6. Step 6: Final answer
    x = 9,765.84

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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.