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Finding the Fourth Proportional to 8,678.41, 13,019.67 and 2,835

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Solution

The fourth proportional to 8,678.41, 13,019.67 and 2,835 is: 4,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.41 : 13,019.67 = 2,835 : x
  2. Step 2: Convert to fraction form
    8,678.41/13,019.67 = 2,835/x
  3. Step 3: Cross multiply
    8,678.41x = 13,019.67 × 2,835
  4. Step 4: Simplify right side
    8,678.41x = 36,910,764.45
  5. Step 5: Solve for x
    x = 36,910,764.45/8,678.41
  6. Step 6: Final answer
    x = 4,253.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.