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Finding the Fourth Proportional to 6,262.86, 8,617.14 and 5,420.88

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Solution

The fourth proportional to 6,262.86, 8,617.14 and 5,420.88 is: 7,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.86 : 8,617.14 = 5,420.88 : x
  2. Step 2: Convert to fraction form
    6,262.86/8,617.14 = 5,420.88/x
  3. Step 3: Cross multiply
    6,262.86x = 8,617.14 × 5,420.88
  4. Step 4: Simplify right side
    6,262.86x = 46,712,481.88
  5. Step 5: Solve for x
    x = 46,712,481.88/6,262.86
  6. Step 6: Final answer
    x = 7,458.65

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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.