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Finding the Fourth Proportional to 11,763.84, 16,232.90 and 7,048

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Solution

The fourth proportional to 11,763.84, 16,232.90 and 7,048 is: 9,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.84 : 16,232.90 = 7,048 : x
  2. Step 2: Convert to fraction form
    11,763.84/16,232.90 = 7,048/x
  3. Step 3: Cross multiply
    11,763.84x = 16,232.90 × 7,048
  4. Step 4: Simplify right side
    11,763.84x = 114,409,479.20
  5. Step 5: Solve for x
    x = 114,409,479.20/11,763.84
  6. Step 6: Final answer
    x = 9,725.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.