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Finding the Fourth Proportional to 27,382.25, 41,075.64 and 7,660.98

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Solution

The fourth proportional to 27,382.25, 41,075.64 and 7,660.98 is: 11,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.25 : 41,075.64 = 7,660.98 : x
  2. Step 2: Convert to fraction form
    27,382.25/41,075.64 = 7,660.98/x
  3. Step 3: Cross multiply
    27,382.25x = 41,075.64 × 7,660.98
  4. Step 4: Simplify right side
    27,382.25x = 314,679,656.53
  5. Step 5: Solve for x
    x = 314,679,656.53/27,382.25
  6. Step 6: Final answer
    x = 11,492.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.