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Finding the Fourth Proportional to 7,201.51, 10,802.27 and 4,747.29

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Solution

The fourth proportional to 7,201.51, 10,802.27 and 4,747.29 is: 7,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.51 : 10,802.27 = 4,747.29 : x
  2. Step 2: Convert to fraction form
    7,201.51/10,802.27 = 4,747.29/x
  3. Step 3: Cross multiply
    7,201.51x = 10,802.27 × 4,747.29
  4. Step 4: Simplify right side
    7,201.51x = 51,281,520.22
  5. Step 5: Solve for x
    x = 51,281,520.22/7,201.51
  6. Step 6: Final answer
    x = 7,120.94

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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.