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Finding the Fourth Proportional to 12,763.31, 17,618.13 and 7,459.83

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Solution

The fourth proportional to 12,763.31, 17,618.13 and 7,459.83 is: 10,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.31 : 17,618.13 = 7,459.83 : x
  2. Step 2: Convert to fraction form
    12,763.31/17,618.13 = 7,459.83/x
  3. Step 3: Cross multiply
    12,763.31x = 17,618.13 × 7,459.83
  4. Step 4: Simplify right side
    12,763.31x = 131,428,254.72
  5. Step 5: Solve for x
    x = 131,428,254.72/12,763.31
  6. Step 6: Final answer
    x = 10,297.35

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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.