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Finding the Fourth Proportional to 10,342.49, 15,509.58 and 5,409.48

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Solution

The fourth proportional to 10,342.49, 15,509.58 and 5,409.48 is: 8,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.49 : 15,509.58 = 5,409.48 : x
  2. Step 2: Convert to fraction form
    10,342.49/15,509.58 = 5,409.48/x
  3. Step 3: Cross multiply
    10,342.49x = 15,509.58 × 5,409.48
  4. Step 4: Simplify right side
    10,342.49x = 83,898,800.69
  5. Step 5: Solve for x
    x = 83,898,800.69/10,342.49
  6. Step 6: Final answer
    x = 8,112.05

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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.