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Finding the Fourth Proportional to 7,405.28, 11,095.08 and 5,203.68

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Solution

The fourth proportional to 7,405.28, 11,095.08 and 5,203.68 is: 7,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.28 : 11,095.08 = 5,203.68 : x
  2. Step 2: Convert to fraction form
    7,405.28/11,095.08 = 5,203.68/x
  3. Step 3: Cross multiply
    7,405.28x = 11,095.08 × 5,203.68
  4. Step 4: Simplify right side
    7,405.28x = 57,735,245.89
  5. Step 5: Solve for x
    x = 57,735,245.89/7,405.28
  6. Step 6: Final answer
    x = 7,796.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.