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Finding the Fourth Proportional to 12,792.16, 17,649.12 and 7,202.08

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Solution

The fourth proportional to 12,792.16, 17,649.12 and 7,202.08 is: 9,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.16 : 17,649.12 = 7,202.08 : x
  2. Step 2: Convert to fraction form
    12,792.16/17,649.12 = 7,202.08/x
  3. Step 3: Cross multiply
    12,792.16x = 17,649.12 × 7,202.08
  4. Step 4: Simplify right side
    12,792.16x = 127,110,374.17
  5. Step 5: Solve for x
    x = 127,110,374.17/12,792.16
  6. Step 6: Final answer
    x = 9,936.58

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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.