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Finding the Fourth Proportional to 12,097.04, 16,680.41 and 7,615.31

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Solution

The fourth proportional to 12,097.04, 16,680.41 and 7,615.31 is: 10,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.04 : 16,680.41 = 7,615.31 : x
  2. Step 2: Convert to fraction form
    12,097.04/16,680.41 = 7,615.31/x
  3. Step 3: Cross multiply
    12,097.04x = 16,680.41 × 7,615.31
  4. Step 4: Simplify right side
    12,097.04x = 127,026,371.60
  5. Step 5: Solve for x
    x = 127,026,371.60/12,097.04
  6. Step 6: Final answer
    x = 10,500.62

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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.