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Finding the Fourth Proportional to 7,389.84, 11,089.68 and 3,494.64

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Solution

The fourth proportional to 7,389.84, 11,089.68 and 3,494.64 is: 5,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.84 : 11,089.68 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    7,389.84/11,089.68 = 3,494.64/x
  3. Step 3: Cross multiply
    7,389.84x = 11,089.68 × 3,494.64
  4. Step 4: Simplify right side
    7,389.84x = 38,754,439.32
  5. Step 5: Solve for x
    x = 38,754,439.32/7,389.84
  6. Step 6: Final answer
    x = 5,244.29

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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.