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Finding the Fourth Proportional to 11,572.38, 15,969.76 and 6,536.50

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Solution

The fourth proportional to 11,572.38, 15,969.76 and 6,536.50 is: 9,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.38 : 15,969.76 = 6,536.50 : x
  2. Step 2: Convert to fraction form
    11,572.38/15,969.76 = 6,536.50/x
  3. Step 3: Cross multiply
    11,572.38x = 15,969.76 × 6,536.50
  4. Step 4: Simplify right side
    11,572.38x = 104,386,336.24
  5. Step 5: Solve for x
    x = 104,386,336.24/11,572.38
  6. Step 6: Final answer
    x = 9,020.30

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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.