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Finding the Fourth Proportional to 8,488.82, 11,705.64 and 5,970.08

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Solution

The fourth proportional to 8,488.82, 11,705.64 and 5,970.08 is: 8,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.82 : 11,705.64 = 5,970.08 : x
  2. Step 2: Convert to fraction form
    8,488.82/11,705.64 = 5,970.08/x
  3. Step 3: Cross multiply
    8,488.82x = 11,705.64 × 5,970.08
  4. Step 4: Simplify right side
    8,488.82x = 69,883,607.25
  5. Step 5: Solve for x
    x = 69,883,607.25/8,488.82
  6. Step 6: Final answer
    x = 8,232.43

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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.