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Finding the Fourth Proportional to 8,047.76, 12,075.08 and 3,368.86

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Solution

The fourth proportional to 8,047.76, 12,075.08 and 3,368.86 is: 5,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.76 : 12,075.08 = 3,368.86 : x
  2. Step 2: Convert to fraction form
    8,047.76/12,075.08 = 3,368.86/x
  3. Step 3: Cross multiply
    8,047.76x = 12,075.08 × 3,368.86
  4. Step 4: Simplify right side
    8,047.76x = 40,679,206.98
  5. Step 5: Solve for x
    x = 40,679,206.98/8,047.76
  6. Step 6: Final answer
    x = 5,054.73

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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.