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Finding the Fourth Proportional to 7,382.64, 11,075.49 and 3,484.92

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Solution

The fourth proportional to 7,382.64, 11,075.49 and 3,484.92 is: 5,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.64 : 11,075.49 = 3,484.92 : x
  2. Step 2: Convert to fraction form
    7,382.64/11,075.49 = 3,484.92/x
  3. Step 3: Cross multiply
    7,382.64x = 11,075.49 × 3,484.92
  4. Step 4: Simplify right side
    7,382.64x = 38,597,196.61
  5. Step 5: Solve for x
    x = 38,597,196.61/7,382.64
  6. Step 6: Final answer
    x = 5,228.10

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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.