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Finding the Fourth Proportional to 12,388.32, 17,095.59 and 7,083.09

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Solution

The fourth proportional to 12,388.32, 17,095.59 and 7,083.09 is: 9,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.32 : 17,095.59 = 7,083.09 : x
  2. Step 2: Convert to fraction form
    12,388.32/17,095.59 = 7,083.09/x
  3. Step 3: Cross multiply
    12,388.32x = 17,095.59 × 7,083.09
  4. Step 4: Simplify right side
    12,388.32x = 121,089,602.57
  5. Step 5: Solve for x
    x = 121,089,602.57/12,388.32
  6. Step 6: Final answer
    x = 9,774.50

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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.