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Finding the Fourth Proportional to 7,760.66, 11,636.74 and 3,075.93

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Solution

The fourth proportional to 7,760.66, 11,636.74 and 3,075.93 is: 4,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.66 : 11,636.74 = 3,075.93 : x
  2. Step 2: Convert to fraction form
    7,760.66/11,636.74 = 3,075.93/x
  3. Step 3: Cross multiply
    7,760.66x = 11,636.74 × 3,075.93
  4. Step 4: Simplify right side
    7,760.66x = 35,793,757.88
  5. Step 5: Solve for x
    x = 35,793,757.88/7,760.66
  6. Step 6: Final answer
    x = 4,612.20

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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.