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Finding the Fourth Proportional to 7,674.66, 11,492.55 and 4,744.08

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Solution

The fourth proportional to 7,674.66, 11,492.55 and 4,744.08 is: 7,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.66 : 11,492.55 = 4,744.08 : x
  2. Step 2: Convert to fraction form
    7,674.66/11,492.55 = 4,744.08/x
  3. Step 3: Cross multiply
    7,674.66x = 11,492.55 × 4,744.08
  4. Step 4: Simplify right side
    7,674.66x = 54,521,576.60
  5. Step 5: Solve for x
    x = 54,521,576.60/7,674.66
  6. Step 6: Final answer
    x = 7,104.10

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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.