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Finding the Fourth Proportional to 7,382, 11,075.16 and 2,188.02

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Solution

The fourth proportional to 7,382, 11,075.16 and 2,188.02 is: 3,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382 : 11,075.16 = 2,188.02 : x
  2. Step 2: Convert to fraction form
    7,382/11,075.16 = 2,188.02/x
  3. Step 3: Cross multiply
    7,382x = 11,075.16 × 2,188.02
  4. Step 4: Simplify right side
    7,382x = 24,232,671.58
  5. Step 5: Solve for x
    x = 24,232,671.58/7,382
  6. Step 6: Final answer
    x = 3,282.67

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Why These Related Problems?

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