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Finding the Fourth Proportional to 7,231.64, 10,838.58 and 4,114.25

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Solution

The fourth proportional to 7,231.64, 10,838.58 and 4,114.25 is: 6,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.64 : 10,838.58 = 4,114.25 : x
  2. Step 2: Convert to fraction form
    7,231.64/10,838.58 = 4,114.25/x
  3. Step 3: Cross multiply
    7,231.64x = 10,838.58 × 4,114.25
  4. Step 4: Simplify right side
    7,231.64x = 44,592,627.77
  5. Step 5: Solve for x
    x = 44,592,627.77/7,231.64
  6. Step 6: Final answer
    x = 6,166.32

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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.