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Finding the Fourth Proportional to 7,838.69, 10,818.15 and 4,480.87

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Solution

The fourth proportional to 7,838.69, 10,818.15 and 4,480.87 is: 6,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.69 : 10,818.15 = 4,480.87 : x
  2. Step 2: Convert to fraction form
    7,838.69/10,818.15 = 4,480.87/x
  3. Step 3: Cross multiply
    7,838.69x = 10,818.15 × 4,480.87
  4. Step 4: Simplify right side
    7,838.69x = 48,474,647.30
  5. Step 5: Solve for x
    x = 48,474,647.30/7,838.69
  6. Step 6: Final answer
    x = 6,184.03

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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.