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Finding the Fourth Proportional to 8,586.49, 11,853 and 5,604.88

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Solution

The fourth proportional to 8,586.49, 11,853 and 5,604.88 is: 7,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.49 : 11,853 = 5,604.88 : x
  2. Step 2: Convert to fraction form
    8,586.49/11,853 = 5,604.88/x
  3. Step 3: Cross multiply
    8,586.49x = 11,853 × 5,604.88
  4. Step 4: Simplify right side
    8,586.49x = 66,434,642.64
  5. Step 5: Solve for x
    x = 66,434,642.64/8,586.49
  6. Step 6: Final answer
    x = 7,737.11

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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.