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Finding the Fourth Proportional to 11,486.05, 15,851.23 and 6,705.25

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Solution

The fourth proportional to 11,486.05, 15,851.23 and 6,705.25 is: 9,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.05 : 15,851.23 = 6,705.25 : x
  2. Step 2: Convert to fraction form
    11,486.05/15,851.23 = 6,705.25/x
  3. Step 3: Cross multiply
    11,486.05x = 15,851.23 × 6,705.25
  4. Step 4: Simplify right side
    11,486.05x = 106,286,403.57
  5. Step 5: Solve for x
    x = 106,286,403.57/11,486.05
  6. Step 6: Final answer
    x = 9,253.52

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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.