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Finding the Fourth Proportional to 7,447.68, 11,127.60 and 7,189.20

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Solution

The fourth proportional to 7,447.68, 11,127.60 and 7,189.20 is: 10,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.68 : 11,127.60 = 7,189.20 : x
  2. Step 2: Convert to fraction form
    7,447.68/11,127.60 = 7,189.20/x
  3. Step 3: Cross multiply
    7,447.68x = 11,127.60 × 7,189.20
  4. Step 4: Simplify right side
    7,447.68x = 79,998,541.92
  5. Step 5: Solve for x
    x = 79,998,541.92/7,447.68
  6. Step 6: Final answer
    x = 10,741.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.