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Finding the Fourth Proportional to 8,646.64, 11,930.70 and 5,290.18

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Solution

The fourth proportional to 8,646.64, 11,930.70 and 5,290.18 is: 7,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.64 : 11,930.70 = 5,290.18 : x
  2. Step 2: Convert to fraction form
    8,646.64/11,930.70 = 5,290.18/x
  3. Step 3: Cross multiply
    8,646.64x = 11,930.70 × 5,290.18
  4. Step 4: Simplify right side
    8,646.64x = 63,115,550.53
  5. Step 5: Solve for x
    x = 63,115,550.53/8,646.64
  6. Step 6: Final answer
    x = 7,299.43

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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.