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Finding the Fourth Proportional to 12,505.53, 17,262.95 and 7,792.14

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Solution

The fourth proportional to 12,505.53, 17,262.95 and 7,792.14 is: 10,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.53 : 17,262.95 = 7,792.14 : x
  2. Step 2: Convert to fraction form
    12,505.53/17,262.95 = 7,792.14/x
  3. Step 3: Cross multiply
    12,505.53x = 17,262.95 × 7,792.14
  4. Step 4: Simplify right side
    12,505.53x = 134,515,284.25
  5. Step 5: Solve for x
    x = 134,515,284.25/12,505.53
  6. Step 6: Final answer
    x = 10,756.46

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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.