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Finding the Fourth Proportional to 7,710.85, 11,564.54 and 3,546.86

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Solution

The fourth proportional to 7,710.85, 11,564.54 and 3,546.86 is: 5,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.85 : 11,564.54 = 3,546.86 : x
  2. Step 2: Convert to fraction form
    7,710.85/11,564.54 = 3,546.86/x
  3. Step 3: Cross multiply
    7,710.85x = 11,564.54 × 3,546.86
  4. Step 4: Simplify right side
    7,710.85x = 41,017,756.26
  5. Step 5: Solve for x
    x = 41,017,756.26/7,710.85
  6. Step 6: Final answer
    x = 5,319.49

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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.