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Finding the Fourth Proportional to 12,301.53, 16,976.10 and 6,712.53

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Solution

The fourth proportional to 12,301.53, 16,976.10 and 6,712.53 is: 9,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.53 : 16,976.10 = 6,712.53 : x
  2. Step 2: Convert to fraction form
    12,301.53/16,976.10 = 6,712.53/x
  3. Step 3: Cross multiply
    12,301.53x = 16,976.10 × 6,712.53
  4. Step 4: Simplify right side
    12,301.53x = 113,952,580.53
  5. Step 5: Solve for x
    x = 113,952,580.53/12,301.53
  6. Step 6: Final answer
    x = 9,263.29

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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.