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Finding the Fourth Proportional to 11,563.85, 15,958.05 and 6,528.02

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Solution

The fourth proportional to 11,563.85, 15,958.05 and 6,528.02 is: 9,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.85 : 15,958.05 = 6,528.02 : x
  2. Step 2: Convert to fraction form
    11,563.85/15,958.05 = 6,528.02/x
  3. Step 3: Cross multiply
    11,563.85x = 15,958.05 × 6,528.02
  4. Step 4: Simplify right side
    11,563.85x = 104,174,389.77
  5. Step 5: Solve for x
    x = 104,174,389.77/11,563.85
  6. Step 6: Final answer
    x = 9,008.63

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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.