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Finding the Fourth Proportional to 7,720.14, 11,580.21 and 5,421.90

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Solution

The fourth proportional to 7,720.14, 11,580.21 and 5,421.90 is: 8,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.14 : 11,580.21 = 5,421.90 : x
  2. Step 2: Convert to fraction form
    7,720.14/11,580.21 = 5,421.90/x
  3. Step 3: Cross multiply
    7,720.14x = 11,580.21 × 5,421.90
  4. Step 4: Simplify right side
    7,720.14x = 62,786,740.60
  5. Step 5: Solve for x
    x = 62,786,740.60/7,720.14
  6. Step 6: Final answer
    x = 8,132.85

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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.