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Finding the Fourth Proportional to 10,407.82, 14,362.03 and 6,429.01

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Solution

The fourth proportional to 10,407.82, 14,362.03 and 6,429.01 is: 8,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.82 : 14,362.03 = 6,429.01 : x
  2. Step 2: Convert to fraction form
    10,407.82/14,362.03 = 6,429.01/x
  3. Step 3: Cross multiply
    10,407.82x = 14,362.03 × 6,429.01
  4. Step 4: Simplify right side
    10,407.82x = 92,333,634.49
  5. Step 5: Solve for x
    x = 92,333,634.49/10,407.82
  6. Step 6: Final answer
    x = 8,871.56

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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.