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Finding the Fourth Proportional to 7,148.59, 10,720.58 and 6,682.14

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Solution

The fourth proportional to 7,148.59, 10,720.58 and 6,682.14 is: 10,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.59 : 10,720.58 = 6,682.14 : x
  2. Step 2: Convert to fraction form
    7,148.59/10,720.58 = 6,682.14/x
  3. Step 3: Cross multiply
    7,148.59x = 10,720.58 × 6,682.14
  4. Step 4: Simplify right side
    7,148.59x = 71,636,383.03
  5. Step 5: Solve for x
    x = 71,636,383.03/7,148.59
  6. Step 6: Final answer
    x = 10,021.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.