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Finding the Fourth Proportional to 10,665.63, 14,716.74 and 6,188.35

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Solution

The fourth proportional to 10,665.63, 14,716.74 and 6,188.35 is: 8,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.63 : 14,716.74 = 6,188.35 : x
  2. Step 2: Convert to fraction form
    10,665.63/14,716.74 = 6,188.35/x
  3. Step 3: Cross multiply
    10,665.63x = 14,716.74 × 6,188.35
  4. Step 4: Simplify right side
    10,665.63x = 91,072,337.98
  5. Step 5: Solve for x
    x = 91,072,337.98/10,665.63
  6. Step 6: Final answer
    x = 8,538.86

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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.