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Finding the Fourth Proportional to 12,765.31, 17,620.89 and 7,461.83

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Solution

The fourth proportional to 12,765.31, 17,620.89 and 7,461.83 is: 10,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.31 : 17,620.89 = 7,461.83 : x
  2. Step 2: Convert to fraction form
    12,765.31/17,620.89 = 7,461.83/x
  3. Step 3: Cross multiply
    12,765.31x = 17,620.89 × 7,461.83
  4. Step 4: Simplify right side
    12,765.31x = 131,484,085.63
  5. Step 5: Solve for x
    x = 131,484,085.63/12,765.31
  6. Step 6: Final answer
    x = 10,300.11

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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.