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Finding the Fourth Proportional to 12,905.59, 17,810.34 and 7,602.11

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Solution

The fourth proportional to 12,905.59, 17,810.34 and 7,602.11 is: 10,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.59 : 17,810.34 = 7,602.11 : x
  2. Step 2: Convert to fraction form
    12,905.59/17,810.34 = 7,602.11/x
  3. Step 3: Cross multiply
    12,905.59x = 17,810.34 × 7,602.11
  4. Step 4: Simplify right side
    12,905.59x = 135,396,163.82
  5. Step 5: Solve for x
    x = 135,396,163.82/12,905.59
  6. Step 6: Final answer
    x = 10,491.28

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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.