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Finding the Fourth Proportional to 8,589.64, 11,864.82 and 7,103.56

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Solution

The fourth proportional to 8,589.64, 11,864.82 and 7,103.56 is: 9,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.64 : 11,864.82 = 7,103.56 : x
  2. Step 2: Convert to fraction form
    8,589.64/11,864.82 = 7,103.56/x
  3. Step 3: Cross multiply
    8,589.64x = 11,864.82 × 7,103.56
  4. Step 4: Simplify right side
    8,589.64x = 84,282,460.76
  5. Step 5: Solve for x
    x = 84,282,460.76/8,589.64
  6. Step 6: Final answer
    x = 9,812.11

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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.