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Finding the Fourth Proportional to 12,907.52, 17,810.21 and 7,603.38

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Solution

The fourth proportional to 12,907.52, 17,810.21 and 7,603.38 is: 10,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.52 : 17,810.21 = 7,603.38 : x
  2. Step 2: Convert to fraction form
    12,907.52/17,810.21 = 7,603.38/x
  3. Step 3: Cross multiply
    12,907.52x = 17,810.21 × 7,603.38
  4. Step 4: Simplify right side
    12,907.52x = 135,417,794.51
  5. Step 5: Solve for x
    x = 135,417,794.51/12,907.52
  6. Step 6: Final answer
    x = 10,491.39

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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.