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Finding the Fourth Proportional to 10,362.40, 14,305.38 and 7,022.84

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Solution

The fourth proportional to 10,362.40, 14,305.38 and 7,022.84 is: 9,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.40 : 14,305.38 = 7,022.84 : x
  2. Step 2: Convert to fraction form
    10,362.40/14,305.38 = 7,022.84/x
  3. Step 3: Cross multiply
    10,362.40x = 14,305.38 × 7,022.84
  4. Step 4: Simplify right side
    10,362.40x = 100,464,394.88
  5. Step 5: Solve for x
    x = 100,464,394.88/10,362.40
  6. Step 6: Final answer
    x = 9,695.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.