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Finding the Fourth Proportional to 12,580.32, 17,362.98 and 7,278.36

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Solution

The fourth proportional to 12,580.32, 17,362.98 and 7,278.36 is: 10,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.32 : 17,362.98 = 7,278.36 : x
  2. Step 2: Convert to fraction form
    12,580.32/17,362.98 = 7,278.36/x
  3. Step 3: Cross multiply
    12,580.32x = 17,362.98 × 7,278.36
  4. Step 4: Simplify right side
    12,580.32x = 126,374,019.11
  5. Step 5: Solve for x
    x = 126,374,019.11/12,580.32
  6. Step 6: Final answer
    x = 10,045.37

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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.