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Finding the Fourth Proportional to 7,409.32, 11,107.54 and 3,023.98

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Solution

The fourth proportional to 7,409.32, 11,107.54 and 3,023.98 is: 4,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.32 : 11,107.54 = 3,023.98 : x
  2. Step 2: Convert to fraction form
    7,409.32/11,107.54 = 3,023.98/x
  3. Step 3: Cross multiply
    7,409.32x = 11,107.54 × 3,023.98
  4. Step 4: Simplify right side
    7,409.32x = 33,588,943.48
  5. Step 5: Solve for x
    x = 33,588,943.48/7,409.32
  6. Step 6: Final answer
    x = 4,533.34

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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.