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Finding the Fourth Proportional to 7,580.14, 11,419.67 and 5,943.99

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Solution

The fourth proportional to 7,580.14, 11,419.67 and 5,943.99 is: 8,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.14 : 11,419.67 = 5,943.99 : x
  2. Step 2: Convert to fraction form
    7,580.14/11,419.67 = 5,943.99/x
  3. Step 3: Cross multiply
    7,580.14x = 11,419.67 × 5,943.99
  4. Step 4: Simplify right side
    7,580.14x = 67,878,404.28
  5. Step 5: Solve for x
    x = 67,878,404.28/7,580.14
  6. Step 6: Final answer
    x = 8,954.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.