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Finding the Fourth Proportional to 11,492.70, 17,243.15 and 5,653.41

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Solution

The fourth proportional to 11,492.70, 17,243.15 and 5,653.41 is: 8,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.70 : 17,243.15 = 5,653.41 : x
  2. Step 2: Convert to fraction form
    11,492.70/17,243.15 = 5,653.41/x
  3. Step 3: Cross multiply
    11,492.70x = 17,243.15 × 5,653.41
  4. Step 4: Simplify right side
    11,492.70x = 97,482,596.64
  5. Step 5: Solve for x
    x = 97,482,596.64/11,492.70
  6. Step 6: Final answer
    x = 8,482.13

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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.