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Finding the Fourth Proportional to 7,813.48, 10,782.30 and 4,456.48

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Solution

The fourth proportional to 7,813.48, 10,782.30 and 4,456.48 is: 6,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.48 : 10,782.30 = 4,456.48 : x
  2. Step 2: Convert to fraction form
    7,813.48/10,782.30 = 4,456.48/x
  3. Step 3: Cross multiply
    7,813.48x = 10,782.30 × 4,456.48
  4. Step 4: Simplify right side
    7,813.48x = 48,051,104.30
  5. Step 5: Solve for x
    x = 48,051,104.30/7,813.48
  6. Step 6: Final answer
    x = 6,149.77

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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.