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Finding the Fourth Proportional to 10,735.55, 14,814.59 and 6,489.10

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Solution

The fourth proportional to 10,735.55, 14,814.59 and 6,489.10 is: 8,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.55 : 14,814.59 = 6,489.10 : x
  2. Step 2: Convert to fraction form
    10,735.55/14,814.59 = 6,489.10/x
  3. Step 3: Cross multiply
    10,735.55x = 14,814.59 × 6,489.10
  4. Step 4: Simplify right side
    10,735.55x = 96,133,355.97
  5. Step 5: Solve for x
    x = 96,133,355.97/10,735.55
  6. Step 6: Final answer
    x = 8,954.67

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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.