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Finding the Fourth Proportional to 7,173.82, 10,750.33 and 5,097.93

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Solution

The fourth proportional to 7,173.82, 10,750.33 and 5,097.93 is: 7,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.82 : 10,750.33 = 5,097.93 : x
  2. Step 2: Convert to fraction form
    7,173.82/10,750.33 = 5,097.93/x
  3. Step 3: Cross multiply
    7,173.82x = 10,750.33 × 5,097.93
  4. Step 4: Simplify right side
    7,173.82x = 54,804,429.82
  5. Step 5: Solve for x
    x = 54,804,429.82/7,173.82
  6. Step 6: Final answer
    x = 7,639.50

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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.