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Finding the Fourth Proportional to 7,838.64, 10,820.69 and 4,814.25

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Solution

The fourth proportional to 7,838.64, 10,820.69 and 4,814.25 is: 6,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.64 : 10,820.69 = 4,814.25 : x
  2. Step 2: Convert to fraction form
    7,838.64/10,820.69 = 4,814.25/x
  3. Step 3: Cross multiply
    7,838.64x = 10,820.69 × 4,814.25
  4. Step 4: Simplify right side
    7,838.64x = 52,093,484.77
  5. Step 5: Solve for x
    x = 52,093,484.77/7,838.64
  6. Step 6: Final answer
    x = 6,645.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.