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Finding the Fourth Proportional to 10,400.52, 15,606.95 and 3,831.32

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Solution

The fourth proportional to 10,400.52, 15,606.95 and 3,831.32 is: 5,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.52 : 15,606.95 = 3,831.32 : x
  2. Step 2: Convert to fraction form
    10,400.52/15,606.95 = 3,831.32/x
  3. Step 3: Cross multiply
    10,400.52x = 15,606.95 × 3,831.32
  4. Step 4: Simplify right side
    10,400.52x = 59,795,219.67
  5. Step 5: Solve for x
    x = 59,795,219.67/10,400.52
  6. Step 6: Final answer
    x = 5,749.25

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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.