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Finding the Fourth Proportional to 11,792.90, 17,688 and 4,397.60

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Solution

The fourth proportional to 11,792.90, 17,688 and 4,397.60 is: 6,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.90 : 17,688 = 4,397.60 : x
  2. Step 2: Convert to fraction form
    11,792.90/17,688 = 4,397.60/x
  3. Step 3: Cross multiply
    11,792.90x = 17,688 × 4,397.60
  4. Step 4: Simplify right side
    11,792.90x = 77,784,660.36
  5. Step 5: Solve for x
    x = 77,784,660.36/11,792.90
  6. Step 6: Final answer
    x = 6,595.89

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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.