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Finding the Fourth Proportional to 7,486.75, 11,223.33 and 4,705

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Solution

The fourth proportional to 7,486.75, 11,223.33 and 4,705 is: 7,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.75 : 11,223.33 = 4,705 : x
  2. Step 2: Convert to fraction form
    7,486.75/11,223.33 = 4,705/x
  3. Step 3: Cross multiply
    7,486.75x = 11,223.33 × 4,705
  4. Step 4: Simplify right side
    7,486.75x = 52,805,767.65
  5. Step 5: Solve for x
    x = 52,805,767.65/7,486.75
  6. Step 6: Final answer
    x = 7,053.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.