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Finding the Fourth Proportional to 7,720.57, 11,580.39 and 4,759.53

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Solution

The fourth proportional to 7,720.57, 11,580.39 and 4,759.53 is: 7,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.57 : 11,580.39 = 4,759.53 : x
  2. Step 2: Convert to fraction form
    7,720.57/11,580.39 = 4,759.53/x
  3. Step 3: Cross multiply
    7,720.57x = 11,580.39 × 4,759.53
  4. Step 4: Simplify right side
    7,720.57x = 55,117,281.29
  5. Step 5: Solve for x
    x = 55,117,281.29/7,720.57
  6. Step 6: Final answer
    x = 7,139.02

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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.