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Finding the Fourth Proportional to 7,386.84, 11,074.03 and 3,223.80

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Solution

The fourth proportional to 7,386.84, 11,074.03 and 3,223.80 is: 4,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.84 : 11,074.03 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    7,386.84/11,074.03 = 3,223.80/x
  3. Step 3: Cross multiply
    7,386.84x = 11,074.03 × 3,223.80
  4. Step 4: Simplify right side
    7,386.84x = 35,700,457.91
  5. Step 5: Solve for x
    x = 35,700,457.91/7,386.84
  6. Step 6: Final answer
    x = 4,832.98

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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.