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Finding the Fourth Proportional to 7,655.38, 11,478.60 and 2,969.92

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Solution

The fourth proportional to 7,655.38, 11,478.60 and 2,969.92 is: 4,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.38 : 11,478.60 = 2,969.92 : x
  2. Step 2: Convert to fraction form
    7,655.38/11,478.60 = 2,969.92/x
  3. Step 3: Cross multiply
    7,655.38x = 11,478.60 × 2,969.92
  4. Step 4: Simplify right side
    7,655.38x = 34,090,498.18
  5. Step 5: Solve for x
    x = 34,090,498.18/7,655.38
  6. Step 6: Final answer
    x = 4,453.14

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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.