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Finding the Fourth Proportional to 12,748.53, 17,592.94 and 7,083.26

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Solution

The fourth proportional to 12,748.53, 17,592.94 and 7,083.26 is: 9,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748.53 : 17,592.94 = 7,083.26 : x
  2. Step 2: Convert to fraction form
    12,748.53/17,592.94 = 7,083.26/x
  3. Step 3: Cross multiply
    12,748.53x = 17,592.94 × 7,083.26
  4. Step 4: Simplify right side
    12,748.53x = 124,615,262.51
  5. Step 5: Solve for x
    x = 124,615,262.51/12,748.53
  6. Step 6: Final answer
    x = 9,774.87

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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.