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Finding the Fourth Proportional to 8,405.28, 11,599.02 and 4,628.34

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Solution

The fourth proportional to 8,405.28, 11,599.02 and 4,628.34 is: 6,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.28 : 11,599.02 = 4,628.34 : x
  2. Step 2: Convert to fraction form
    8,405.28/11,599.02 = 4,628.34/x
  3. Step 3: Cross multiply
    8,405.28x = 11,599.02 × 4,628.34
  4. Step 4: Simplify right side
    8,405.28x = 53,684,208.23
  5. Step 5: Solve for x
    x = 53,684,208.23/8,405.28
  6. Step 6: Final answer
    x = 6,386.96

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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.