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Finding the Fourth Proportional to 11,563.50, 15,959.52 and 7,089.72

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Solution

The fourth proportional to 11,563.50, 15,959.52 and 7,089.72 is: 9,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.50 : 15,959.52 = 7,089.72 : x
  2. Step 2: Convert to fraction form
    11,563.50/15,959.52 = 7,089.72/x
  3. Step 3: Cross multiply
    11,563.50x = 15,959.52 × 7,089.72
  4. Step 4: Simplify right side
    11,563.50x = 113,148,528.13
  5. Step 5: Solve for x
    x = 113,148,528.13/11,563.50
  6. Step 6: Final answer
    x = 9,784.97

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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.