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Finding the Fourth Proportional to 7,280.34, 10,917.73 and 2,349.24

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Solution

The fourth proportional to 7,280.34, 10,917.73 and 2,349.24 is: 3,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.34 : 10,917.73 = 2,349.24 : x
  2. Step 2: Convert to fraction form
    7,280.34/10,917.73 = 2,349.24/x
  3. Step 3: Cross multiply
    7,280.34x = 10,917.73 × 2,349.24
  4. Step 4: Simplify right side
    7,280.34x = 25,648,368.03
  5. Step 5: Solve for x
    x = 25,648,368.03/7,280.34
  6. Step 6: Final answer
    x = 3,522.96

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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.