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Finding the Fourth Proportional to 7,813.08, 10,785.96 and 5,308.38

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Solution

The fourth proportional to 7,813.08, 10,785.96 and 5,308.38 is: 7,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.08 : 10,785.96 = 5,308.38 : x
  2. Step 2: Convert to fraction form
    7,813.08/10,785.96 = 5,308.38/x
  3. Step 3: Cross multiply
    7,813.08x = 10,785.96 × 5,308.38
  4. Step 4: Simplify right side
    7,813.08x = 57,255,974.34
  5. Step 5: Solve for x
    x = 57,255,974.34/7,813.08
  6. Step 6: Final answer
    x = 7,328.22

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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.