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Finding the Fourth Proportional to 7,331.09, 10,978.40 and 5,129.51

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Solution

The fourth proportional to 7,331.09, 10,978.40 and 5,129.51 is: 7,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.09 : 10,978.40 = 5,129.51 : x
  2. Step 2: Convert to fraction form
    7,331.09/10,978.40 = 5,129.51/x
  3. Step 3: Cross multiply
    7,331.09x = 10,978.40 × 5,129.51
  4. Step 4: Simplify right side
    7,331.09x = 56,313,732.04
  5. Step 5: Solve for x
    x = 56,313,732.04/7,331.09
  6. Step 6: Final answer
    x = 7,681.50

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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.