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Finding the Fourth Proportional to 11,872.81, 17,802.64 and 4,857.75

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Solution

The fourth proportional to 11,872.81, 17,802.64 and 4,857.75 is: 7,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.81 : 17,802.64 = 4,857.75 : x
  2. Step 2: Convert to fraction form
    11,872.81/17,802.64 = 4,857.75/x
  3. Step 3: Cross multiply
    11,872.81x = 17,802.64 × 4,857.75
  4. Step 4: Simplify right side
    11,872.81x = 86,480,780.53
  5. Step 5: Solve for x
    x = 86,480,780.53/11,872.81
  6. Step 6: Final answer
    x = 7,283.93

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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.