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Finding the Fourth Proportional to 10,782.08, 14,879.20 and 6,805.76

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Solution

The fourth proportional to 10,782.08, 14,879.20 and 6,805.76 is: 9,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.08 : 14,879.20 = 6,805.76 : x
  2. Step 2: Convert to fraction form
    10,782.08/14,879.20 = 6,805.76/x
  3. Step 3: Cross multiply
    10,782.08x = 14,879.20 × 6,805.76
  4. Step 4: Simplify right side
    10,782.08x = 101,264,264.19
  5. Step 5: Solve for x
    x = 101,264,264.19/10,782.08
  6. Step 6: Final answer
    x = 9,391.90

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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.