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Finding the Fourth Proportional to 7,580.30, 11,371.71 and 3,420.20

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Solution

The fourth proportional to 7,580.30, 11,371.71 and 3,420.20 is: 5,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.30 : 11,371.71 = 3,420.20 : x
  2. Step 2: Convert to fraction form
    7,580.30/11,371.71 = 3,420.20/x
  3. Step 3: Cross multiply
    7,580.30x = 11,371.71 × 3,420.20
  4. Step 4: Simplify right side
    7,580.30x = 38,893,465.68
  5. Step 5: Solve for x
    x = 38,893,465.68/7,580.30
  6. Step 6: Final answer
    x = 5,130.86

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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.