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Finding the Fourth Proportional to 10,153.94, 14,012.46 and 5,907.51

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Solution

The fourth proportional to 10,153.94, 14,012.46 and 5,907.51 is: 8,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.94 : 14,012.46 = 5,907.51 : x
  2. Step 2: Convert to fraction form
    10,153.94/14,012.46 = 5,907.51/x
  3. Step 3: Cross multiply
    10,153.94x = 14,012.46 × 5,907.51
  4. Step 4: Simplify right side
    10,153.94x = 82,778,747.57
  5. Step 5: Solve for x
    x = 82,778,747.57/10,153.94
  6. Step 6: Final answer
    x = 8,152.38

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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.