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Finding the Fourth Proportional to 8,689.56, 13,034.34 and 2,846.10

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Solution

The fourth proportional to 8,689.56, 13,034.34 and 2,846.10 is: 4,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.56 : 13,034.34 = 2,846.10 : x
  2. Step 2: Convert to fraction form
    8,689.56/13,034.34 = 2,846.10/x
  3. Step 3: Cross multiply
    8,689.56x = 13,034.34 × 2,846.10
  4. Step 4: Simplify right side
    8,689.56x = 37,097,035.07
  5. Step 5: Solve for x
    x = 37,097,035.07/8,689.56
  6. Step 6: Final answer
    x = 4,269.15

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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.