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Finding the Fourth Proportional to 7,602.43, 11,387.75 and 6,113.60

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Solution

The fourth proportional to 7,602.43, 11,387.75 and 6,113.60 is: 9,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.43 : 11,387.75 = 6,113.60 : x
  2. Step 2: Convert to fraction form
    7,602.43/11,387.75 = 6,113.60/x
  3. Step 3: Cross multiply
    7,602.43x = 11,387.75 × 6,113.60
  4. Step 4: Simplify right side
    7,602.43x = 69,620,148.40
  5. Step 5: Solve for x
    x = 69,620,148.40/7,602.43
  6. Step 6: Final answer
    x = 9,157.62

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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.