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Finding the Fourth Proportional to 10,635.79, 14,677.14 and 6,659.09

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Solution

The fourth proportional to 10,635.79, 14,677.14 and 6,659.09 is: 9,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.79 : 14,677.14 = 6,659.09 : x
  2. Step 2: Convert to fraction form
    10,635.79/14,677.14 = 6,659.09/x
  3. Step 3: Cross multiply
    10,635.79x = 14,677.14 × 6,659.09
  4. Step 4: Simplify right side
    10,635.79x = 97,736,457.87
  5. Step 5: Solve for x
    x = 97,736,457.87/10,635.79
  6. Step 6: Final answer
    x = 9,189.40

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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.