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Finding the Fourth Proportional to 12,907.52, 17,812.38 and 7,318.52

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Solution

The fourth proportional to 12,907.52, 17,812.38 and 7,318.52 is: 10,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.52 : 17,812.38 = 7,318.52 : x
  2. Step 2: Convert to fraction form
    12,907.52/17,812.38 = 7,318.52/x
  3. Step 3: Cross multiply
    12,907.52x = 17,812.38 × 7,318.52
  4. Step 4: Simplify right side
    12,907.52x = 130,360,259.28
  5. Step 5: Solve for x
    x = 130,360,259.28/12,907.52
  6. Step 6: Final answer
    x = 10,099.56

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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.