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Finding the Fourth Proportional to 11,563.90, 15,958.29 and 6,258.83

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Solution

The fourth proportional to 11,563.90, 15,958.29 and 6,258.83 is: 8,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.90 : 15,958.29 = 6,258.83 : x
  2. Step 2: Convert to fraction form
    11,563.90/15,958.29 = 6,258.83/x
  3. Step 3: Cross multiply
    11,563.90x = 15,958.29 × 6,258.83
  4. Step 4: Simplify right side
    11,563.90x = 99,880,224.20
  5. Step 5: Solve for x
    x = 99,880,224.20/11,563.90
  6. Step 6: Final answer
    x = 8,637.24

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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.