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Finding the Fourth Proportional to 12,097.20, 16,698.05 and 7,840.75

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Solution

The fourth proportional to 12,097.20, 16,698.05 and 7,840.75 is: 10,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.20 : 16,698.05 = 7,840.75 : x
  2. Step 2: Convert to fraction form
    12,097.20/16,698.05 = 7,840.75/x
  3. Step 3: Cross multiply
    12,097.20x = 16,698.05 × 7,840.75
  4. Step 4: Simplify right side
    12,097.20x = 130,925,215.30
  5. Step 5: Solve for x
    x = 130,925,215.30/12,097.20
  6. Step 6: Final answer
    x = 10,822.77

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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.