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Finding the Fourth Proportional to 10,664.79, 14,712.64 and 6,185.94

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Solution

The fourth proportional to 10,664.79, 14,712.64 and 6,185.94 is: 8,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.79 : 14,712.64 = 6,185.94 : x
  2. Step 2: Convert to fraction form
    10,664.79/14,712.64 = 6,185.94/x
  3. Step 3: Cross multiply
    10,664.79x = 14,712.64 × 6,185.94
  4. Step 4: Simplify right side
    10,664.79x = 91,011,508.28
  5. Step 5: Solve for x
    x = 91,011,508.28/10,664.79
  6. Step 6: Final answer
    x = 8,533.83

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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.