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Finding the Fourth Proportional to 11,520.03, 15,883.11 and 7,534.83

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Solution

The fourth proportional to 11,520.03, 15,883.11 and 7,534.83 is: 10,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.03 : 15,883.11 = 7,534.83 : x
  2. Step 2: Convert to fraction form
    11,520.03/15,883.11 = 7,534.83/x
  3. Step 3: Cross multiply
    11,520.03x = 15,883.11 × 7,534.83
  4. Step 4: Simplify right side
    11,520.03x = 119,676,533.72
  5. Step 5: Solve for x
    x = 119,676,533.72/11,520.03
  6. Step 6: Final answer
    x = 10,388.56

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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.