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Finding the Fourth Proportional to 11,580.36, 15,980.12 and 6,544.80

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Solution

The fourth proportional to 11,580.36, 15,980.12 and 6,544.80 is: 9,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.36 : 15,980.12 = 6,544.80 : x
  2. Step 2: Convert to fraction form
    11,580.36/15,980.12 = 6,544.80/x
  3. Step 3: Cross multiply
    11,580.36x = 15,980.12 × 6,544.80
  4. Step 4: Simplify right side
    11,580.36x = 104,586,689.38
  5. Step 5: Solve for x
    x = 104,586,689.38/11,580.36
  6. Step 6: Final answer
    x = 9,031.38

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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.