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Finding the Fourth Proportional to 11,475.48, 15,829.44 and 7,219.82

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Solution

The fourth proportional to 11,475.48, 15,829.44 and 7,219.82 is: 9,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.48 : 15,829.44 = 7,219.82 : x
  2. Step 2: Convert to fraction form
    11,475.48/15,829.44 = 7,219.82/x
  3. Step 3: Cross multiply
    11,475.48x = 15,829.44 × 7,219.82
  4. Step 4: Simplify right side
    11,475.48x = 114,285,707.50
  5. Step 5: Solve for x
    x = 114,285,707.50/11,475.48
  6. Step 6: Final answer
    x = 9,959.12

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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.