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Finding the Fourth Proportional to 7,389.84, 11,099.16 and 6,349.52

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Solution

The fourth proportional to 7,389.84, 11,099.16 and 6,349.52 is: 9,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.84 : 11,099.16 = 6,349.52 : x
  2. Step 2: Convert to fraction form
    7,389.84/11,099.16 = 6,349.52/x
  3. Step 3: Cross multiply
    7,389.84x = 11,099.16 × 6,349.52
  4. Step 4: Simplify right side
    7,389.84x = 70,474,338.40
  5. Step 5: Solve for x
    x = 70,474,338.40/7,389.84
  6. Step 6: Final answer
    x = 9,536.65

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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.