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Finding the Fourth Proportional to 8,678.18, 11,976 and 4,699.37

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Solution

The fourth proportional to 8,678.18, 11,976 and 4,699.37 is: 6,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.18 : 11,976 = 4,699.37 : x
  2. Step 2: Convert to fraction form
    8,678.18/11,976 = 4,699.37/x
  3. Step 3: Cross multiply
    8,678.18x = 11,976 × 4,699.37
  4. Step 4: Simplify right side
    8,678.18x = 56,279,655.12
  5. Step 5: Solve for x
    x = 56,279,655.12/8,678.18
  6. Step 6: Final answer
    x = 6,485.19

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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.