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Finding the Fourth Proportional to 7,075.80, 9,758.88 and 4,950.54

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Solution

The fourth proportional to 7,075.80, 9,758.88 and 4,950.54 is: 6,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.80 : 9,758.88 = 4,950.54 : x
  2. Step 2: Convert to fraction form
    7,075.80/9,758.88 = 4,950.54/x
  3. Step 3: Cross multiply
    7,075.80x = 9,758.88 × 4,950.54
  4. Step 4: Simplify right side
    7,075.80x = 48,311,725.80
  5. Step 5: Solve for x
    x = 48,311,725.80/7,075.80
  6. Step 6: Final answer
    x = 6,827.74

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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.