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Finding the Fourth Proportional to 11,870.25, 16,380.63 and 6,564.95

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Solution

The fourth proportional to 11,870.25, 16,380.63 and 6,564.95 is: 9,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.25 : 16,380.63 = 6,564.95 : x
  2. Step 2: Convert to fraction form
    11,870.25/16,380.63 = 6,564.95/x
  3. Step 3: Cross multiply
    11,870.25x = 16,380.63 × 6,564.95
  4. Step 4: Simplify right side
    11,870.25x = 107,537,996.44
  5. Step 5: Solve for x
    x = 107,537,996.44/11,870.25
  6. Step 6: Final answer
    x = 9,059.46

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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.