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Finding the Fourth Proportional to 7,761.08, 10,710.24 and 4,224.26

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Solution

The fourth proportional to 7,761.08, 10,710.24 and 4,224.26 is: 5,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.08 : 10,710.24 = 4,224.26 : x
  2. Step 2: Convert to fraction form
    7,761.08/10,710.24 = 4,224.26/x
  3. Step 3: Cross multiply
    7,761.08x = 10,710.24 × 4,224.26
  4. Step 4: Simplify right side
    7,761.08x = 45,242,838.42
  5. Step 5: Solve for x
    x = 45,242,838.42/7,761.08
  6. Step 6: Final answer
    x = 5,829.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.