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Finding the Fourth Proportional to 10,405.04, 14,371.27 and 7,042.02

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Solution

The fourth proportional to 10,405.04, 14,371.27 and 7,042.02 is: 9,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.04 : 14,371.27 = 7,042.02 : x
  2. Step 2: Convert to fraction form
    10,405.04/14,371.27 = 7,042.02/x
  3. Step 3: Cross multiply
    10,405.04x = 14,371.27 × 7,042.02
  4. Step 4: Simplify right side
    10,405.04x = 101,202,770.77
  5. Step 5: Solve for x
    x = 101,202,770.77/10,405.04
  6. Step 6: Final answer
    x = 9,726.32

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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.