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Finding the Fourth Proportional to 7,836.36, 10,814.38 and 4,479.72

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Solution

The fourth proportional to 7,836.36, 10,814.38 and 4,479.72 is: 6,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.36 : 10,814.38 = 4,479.72 : x
  2. Step 2: Convert to fraction form
    7,836.36/10,814.38 = 4,479.72/x
  3. Step 3: Cross multiply
    7,836.36x = 10,814.38 × 4,479.72
  4. Step 4: Simplify right side
    7,836.36x = 48,445,394.37
  5. Step 5: Solve for x
    x = 48,445,394.37/7,836.36
  6. Step 6: Final answer
    x = 6,182.13

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Why These Related Problems?

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