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Finding the Fourth Proportional to 8,406.56, 11,599.52 and 4,868.48

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Solution

The fourth proportional to 8,406.56, 11,599.52 and 4,868.48 is: 6,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.56 : 11,599.52 = 4,868.48 : x
  2. Step 2: Convert to fraction form
    8,406.56/11,599.52 = 4,868.48/x
  3. Step 3: Cross multiply
    8,406.56x = 11,599.52 × 4,868.48
  4. Step 4: Simplify right side
    8,406.56x = 56,472,031.13
  5. Step 5: Solve for x
    x = 56,472,031.13/8,406.56
  6. Step 6: Final answer
    x = 6,717.61

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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.