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Finding the Fourth Proportional to 11,655.42, 16,084.51 and 6,619.64

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Solution

The fourth proportional to 11,655.42, 16,084.51 and 6,619.64 is: 9,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.42 : 16,084.51 = 6,619.64 : x
  2. Step 2: Convert to fraction form
    11,655.42/16,084.51 = 6,619.64/x
  3. Step 3: Cross multiply
    11,655.42x = 16,084.51 × 6,619.64
  4. Step 4: Simplify right side
    11,655.42x = 106,473,665.78
  5. Step 5: Solve for x
    x = 106,473,665.78/11,655.42
  6. Step 6: Final answer
    x = 9,135.12

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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.