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Finding the Fourth Proportional to 12,964.41, 17,892.63 and 7,300.29

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Solution

The fourth proportional to 12,964.41, 17,892.63 and 7,300.29 is: 10,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.41 : 17,892.63 = 7,300.29 : x
  2. Step 2: Convert to fraction form
    12,964.41/17,892.63 = 7,300.29/x
  3. Step 3: Cross multiply
    12,964.41x = 17,892.63 × 7,300.29
  4. Step 4: Simplify right side
    12,964.41x = 130,621,387.86
  5. Step 5: Solve for x
    x = 130,621,387.86/12,964.41
  6. Step 6: Final answer
    x = 10,075.38

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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.