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Finding the Fourth Proportional to 7,649.60, 11,476.56 and 2,971.04

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Solution

The fourth proportional to 7,649.60, 11,476.56 and 2,971.04 is: 4,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.60 : 11,476.56 = 2,971.04 : x
  2. Step 2: Convert to fraction form
    7,649.60/11,476.56 = 2,971.04/x
  3. Step 3: Cross multiply
    7,649.60x = 11,476.56 × 2,971.04
  4. Step 4: Simplify right side
    7,649.60x = 34,097,318.82
  5. Step 5: Solve for x
    x = 34,097,318.82/7,649.60
  6. Step 6: Final answer
    x = 4,457.40

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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.