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Finding the Fourth Proportional to 12,792.02, 19,152.60 and 6,538.57

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Solution

The fourth proportional to 12,792.02, 19,152.60 and 6,538.57 is: 9,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.02 : 19,152.60 = 6,538.57 : x
  2. Step 2: Convert to fraction form
    12,792.02/19,152.60 = 6,538.57/x
  3. Step 3: Cross multiply
    12,792.02x = 19,152.60 × 6,538.57
  4. Step 4: Simplify right side
    12,792.02x = 125,230,615.78
  5. Step 5: Solve for x
    x = 125,230,615.78/12,792.02
  6. Step 6: Final answer
    x = 9,789.75

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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.