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Finding the Fourth Proportional to 10,029.60, 15,046.80 and 4,831.20

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Solution

The fourth proportional to 10,029.60, 15,046.80 and 4,831.20 is: 7,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.60 : 15,046.80 = 4,831.20 : x
  2. Step 2: Convert to fraction form
    10,029.60/15,046.80 = 4,831.20/x
  3. Step 3: Cross multiply
    10,029.60x = 15,046.80 × 4,831.20
  4. Step 4: Simplify right side
    10,029.60x = 72,694,100.16
  5. Step 5: Solve for x
    x = 72,694,100.16/10,029.60
  6. Step 6: Final answer
    x = 7,247.96

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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.