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Finding the Fourth Proportional to 11,854.64, 17,769.60 and 4,831.60

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Solution

The fourth proportional to 11,854.64, 17,769.60 and 4,831.60 is: 7,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.64 : 17,769.60 = 4,831.60 : x
  2. Step 2: Convert to fraction form
    11,854.64/17,769.60 = 4,831.60/x
  3. Step 3: Cross multiply
    11,854.64x = 17,769.60 × 4,831.60
  4. Step 4: Simplify right side
    11,854.64x = 85,855,599.36
  5. Step 5: Solve for x
    x = 85,855,599.36/11,854.64
  6. Step 6: Final answer
    x = 7,242.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.