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Finding the Fourth Proportional to 10,406.31, 14,355.27 and 7,050.30

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Solution

The fourth proportional to 10,406.31, 14,355.27 and 7,050.30 is: 9,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.31 : 14,355.27 = 7,050.30 : x
  2. Step 2: Convert to fraction form
    10,406.31/14,355.27 = 7,050.30/x
  3. Step 3: Cross multiply
    10,406.31x = 14,355.27 × 7,050.30
  4. Step 4: Simplify right side
    10,406.31x = 101,208,960.08
  5. Step 5: Solve for x
    x = 101,208,960.08/10,406.31
  6. Step 6: Final answer
    x = 9,725.73

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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.