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Finding the Fourth Proportional to 11,023.83, 15,214.28 and 6,832.71

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Solution

The fourth proportional to 11,023.83, 15,214.28 and 6,832.71 is: 9,430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.83 : 15,214.28 = 6,832.71 : x
  2. Step 2: Convert to fraction form
    11,023.83/15,214.28 = 6,832.71/x
  3. Step 3: Cross multiply
    11,023.83x = 15,214.28 × 6,832.71
  4. Step 4: Simplify right side
    11,023.83x = 103,954,728.94
  5. Step 5: Solve for x
    x = 103,954,728.94/11,023.83
  6. Step 6: Final answer
    x = 9,430.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.