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Finding the Fourth Proportional to 12,902.07, 17,807.79 and 7,598.60

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Solution

The fourth proportional to 12,902.07, 17,807.79 and 7,598.60 is: 10,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.07 : 17,807.79 = 7,598.60 : x
  2. Step 2: Convert to fraction form
    12,902.07/17,807.79 = 7,598.60/x
  3. Step 3: Cross multiply
    12,902.07x = 17,807.79 × 7,598.60
  4. Step 4: Simplify right side
    12,902.07x = 135,314,273.09
  5. Step 5: Solve for x
    x = 135,314,273.09/12,902.07
  6. Step 6: Final answer
    x = 10,487.80

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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.