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Finding the Fourth Proportional to 11,828.60, 17,742.90 and 7,465.40

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Solution

The fourth proportional to 11,828.60, 17,742.90 and 7,465.40 is: 11,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.60 : 17,742.90 = 7,465.40 : x
  2. Step 2: Convert to fraction form
    11,828.60/17,742.90 = 7,465.40/x
  3. Step 3: Cross multiply
    11,828.60x = 17,742.90 × 7,465.40
  4. Step 4: Simplify right side
    11,828.60x = 132,457,845.66
  5. Step 5: Solve for x
    x = 132,457,845.66/11,828.60
  6. Step 6: Final answer
    x = 11,198.10

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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.