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Finding the Fourth Proportional to 7,649.64, 11,476.28 and 2,969.76

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Solution

The fourth proportional to 7,649.64, 11,476.28 and 2,969.76 is: 4,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.64 : 11,476.28 = 2,969.76 : x
  2. Step 2: Convert to fraction form
    7,649.64/11,476.28 = 2,969.76/x
  3. Step 3: Cross multiply
    7,649.64x = 11,476.28 × 2,969.76
  4. Step 4: Simplify right side
    7,649.64x = 34,081,847.75
  5. Step 5: Solve for x
    x = 34,081,847.75/7,649.64
  6. Step 6: Final answer
    x = 4,455.35

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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.