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Finding the Fourth Proportional to 7,735.76, 11,605.72 and 3,572.36

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Solution

The fourth proportional to 7,735.76, 11,605.72 and 3,572.36 is: 5,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.76 : 11,605.72 = 3,572.36 : x
  2. Step 2: Convert to fraction form
    7,735.76/11,605.72 = 3,572.36/x
  3. Step 3: Cross multiply
    7,735.76x = 11,605.72 × 3,572.36
  4. Step 4: Simplify right side
    7,735.76x = 41,459,751.87
  5. Step 5: Solve for x
    x = 41,459,751.87/7,735.76
  6. Step 6: Final answer
    x = 5,359.50

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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.