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Finding the Fourth Proportional to 11,655.40, 16,084.53 and 6,350.17

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Solution

The fourth proportional to 11,655.40, 16,084.53 and 6,350.17 is: 8,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.40 : 16,084.53 = 6,350.17 : x
  2. Step 2: Convert to fraction form
    11,655.40/16,084.53 = 6,350.17/x
  3. Step 3: Cross multiply
    11,655.40x = 16,084.53 × 6,350.17
  4. Step 4: Simplify right side
    11,655.40x = 102,139,499.87
  5. Step 5: Solve for x
    x = 102,139,499.87/11,655.40
  6. Step 6: Final answer
    x = 8,763.28

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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.