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Finding the Fourth Proportional to 11,561.91, 15,955.49 and 6,526.35

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Solution

The fourth proportional to 11,561.91, 15,955.49 and 6,526.35 is: 9,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.91 : 15,955.49 = 6,526.35 : x
  2. Step 2: Convert to fraction form
    11,561.91/15,955.49 = 6,526.35/x
  3. Step 3: Cross multiply
    11,561.91x = 15,955.49 × 6,526.35
  4. Step 4: Simplify right side
    11,561.91x = 104,131,112.16
  5. Step 5: Solve for x
    x = 104,131,112.16/11,561.91
  6. Step 6: Final answer
    x = 9,006.39

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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.