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Finding the Fourth Proportional to 10,624.08, 14,660.55 and 6,645

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Solution

The fourth proportional to 10,624.08, 14,660.55 and 6,645 is: 9,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.08 : 14,660.55 = 6,645 : x
  2. Step 2: Convert to fraction form
    10,624.08/14,660.55 = 6,645/x
  3. Step 3: Cross multiply
    10,624.08x = 14,660.55 × 6,645
  4. Step 4: Simplify right side
    10,624.08x = 97,419,354.75
  5. Step 5: Solve for x
    x = 97,419,354.75/10,624.08
  6. Step 6: Final answer
    x = 9,169.67

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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.