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Finding the Fourth Proportional to 11,403.84, 15,740.25 and 6,627.64

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Solution

The fourth proportional to 11,403.84, 15,740.25 and 6,627.64 is: 9,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.84 : 15,740.25 = 6,627.64 : x
  2. Step 2: Convert to fraction form
    11,403.84/15,740.25 = 6,627.64/x
  3. Step 3: Cross multiply
    11,403.84x = 15,740.25 × 6,627.64
  4. Step 4: Simplify right side
    11,403.84x = 104,320,628.05
  5. Step 5: Solve for x
    x = 104,320,628.05/11,403.84
  6. Step 6: Final answer
    x = 9,147.85

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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.