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Finding the Fourth Proportional to 8,599.66, 11,853.38 and 6,078.53

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Solution

The fourth proportional to 8,599.66, 11,853.38 and 6,078.53 is: 8,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.66 : 11,853.38 = 6,078.53 : x
  2. Step 2: Convert to fraction form
    8,599.66/11,853.38 = 6,078.53/x
  3. Step 3: Cross multiply
    8,599.66x = 11,853.38 × 6,078.53
  4. Step 4: Simplify right side
    8,599.66x = 72,051,170.76
  5. Step 5: Solve for x
    x = 72,051,170.76/8,599.66
  6. Step 6: Final answer
    x = 8,378.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.