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Finding the Fourth Proportional to 7,811.82, 10,780.32 and 4,275.06

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Solution

The fourth proportional to 7,811.82, 10,780.32 and 4,275.06 is: 5,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.82 : 10,780.32 = 4,275.06 : x
  2. Step 2: Convert to fraction form
    7,811.82/10,780.32 = 4,275.06/x
  3. Step 3: Cross multiply
    7,811.82x = 10,780.32 × 4,275.06
  4. Step 4: Simplify right side
    7,811.82x = 46,086,514.82
  5. Step 5: Solve for x
    x = 46,086,514.82/7,811.82
  6. Step 6: Final answer
    x = 5,899.59

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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.