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Finding the Fourth Proportional to 8,405.46, 11,599.92 and 4,628.70

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Solution

The fourth proportional to 8,405.46, 11,599.92 and 4,628.70 is: 6,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.46 : 11,599.92 = 4,628.70 : x
  2. Step 2: Convert to fraction form
    8,405.46/11,599.92 = 4,628.70/x
  3. Step 3: Cross multiply
    8,405.46x = 11,599.92 × 4,628.70
  4. Step 4: Simplify right side
    8,405.46x = 53,692,549.70
  5. Step 5: Solve for x
    x = 53,692,549.70/8,405.46
  6. Step 6: Final answer
    x = 6,387.82

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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.