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Finding the Fourth Proportional to 7,482.75, 11,217.33 and 4,701

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Solution

The fourth proportional to 7,482.75, 11,217.33 and 4,701 is: 7,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.75 : 11,217.33 = 4,701 : x
  2. Step 2: Convert to fraction form
    7,482.75/11,217.33 = 4,701/x
  3. Step 3: Cross multiply
    7,482.75x = 11,217.33 × 4,701
  4. Step 4: Simplify right side
    7,482.75x = 52,732,668.33
  5. Step 5: Solve for x
    x = 52,732,668.33/7,482.75
  6. Step 6: Final answer
    x = 7,047.23

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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.