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Finding the Fourth Proportional to 6,415.13, 8,853.23 and 3,582.77

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Solution

The fourth proportional to 6,415.13, 8,853.23 and 3,582.77 is: 4,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.13 : 8,853.23 = 3,582.77 : x
  2. Step 2: Convert to fraction form
    6,415.13/8,853.23 = 3,582.77/x
  3. Step 3: Cross multiply
    6,415.13x = 8,853.23 × 3,582.77
  4. Step 4: Simplify right side
    6,415.13x = 31,719,051.54
  5. Step 5: Solve for x
    x = 31,719,051.54/6,415.13
  6. Step 6: Final answer
    x = 4,944.41

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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.