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Finding the Fourth Proportional to 7,534.78, 11,300.34 and 5,887.24

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Solution

The fourth proportional to 7,534.78, 11,300.34 and 5,887.24 is: 8,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.78 : 11,300.34 = 5,887.24 : x
  2. Step 2: Convert to fraction form
    7,534.78/11,300.34 = 5,887.24/x
  3. Step 3: Cross multiply
    7,534.78x = 11,300.34 × 5,887.24
  4. Step 4: Simplify right side
    7,534.78x = 66,527,813.66
  5. Step 5: Solve for x
    x = 66,527,813.66/7,534.78
  6. Step 6: Final answer
    x = 8,829.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.