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Finding the Fourth Proportional to 7,660.80, 11,492.28 and 2,466

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Solution

The fourth proportional to 7,660.80, 11,492.28 and 2,466 is: 3,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.80 : 11,492.28 = 2,466 : x
  2. Step 2: Convert to fraction form
    7,660.80/11,492.28 = 2,466/x
  3. Step 3: Cross multiply
    7,660.80x = 11,492.28 × 2,466
  4. Step 4: Simplify right side
    7,660.80x = 28,339,962.48
  5. Step 5: Solve for x
    x = 28,339,962.48/7,660.80
  6. Step 6: Final answer
    x = 3,699.35

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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.