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Finding the Fourth Proportional to 11,792.81, 16,279.46 and 7,918.70

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Solution

The fourth proportional to 11,792.81, 16,279.46 and 7,918.70 is: 10,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.81 : 16,279.46 = 7,918.70 : x
  2. Step 2: Convert to fraction form
    11,792.81/16,279.46 = 7,918.70/x
  3. Step 3: Cross multiply
    11,792.81x = 16,279.46 × 7,918.70
  4. Step 4: Simplify right side
    11,792.81x = 128,912,068.61
  5. Step 5: Solve for x
    x = 128,912,068.61/11,792.81
  6. Step 6: Final answer
    x = 10,931.42

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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.