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Finding the Fourth Proportional to 11,474.60, 15,831.06 and 7,285.28

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Solution

The fourth proportional to 11,474.60, 15,831.06 and 7,285.28 is: 10,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.60 : 15,831.06 = 7,285.28 : x
  2. Step 2: Convert to fraction form
    11,474.60/15,831.06 = 7,285.28/x
  3. Step 3: Cross multiply
    11,474.60x = 15,831.06 × 7,285.28
  4. Step 4: Simplify right side
    11,474.60x = 115,333,704.80
  5. Step 5: Solve for x
    x = 115,333,704.80/11,474.60
  6. Step 6: Final answer
    x = 10,051.22

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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.