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Finding the Fourth Proportional to 10,389.38, 14,323.74 and 7,692.08

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Solution

The fourth proportional to 10,389.38, 14,323.74 and 7,692.08 is: 10,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.38 : 14,323.74 = 7,692.08 : x
  2. Step 2: Convert to fraction form
    10,389.38/14,323.74 = 7,692.08/x
  3. Step 3: Cross multiply
    10,389.38x = 14,323.74 × 7,692.08
  4. Step 4: Simplify right side
    10,389.38x = 110,179,353.98
  5. Step 5: Solve for x
    x = 110,179,353.98/10,389.38
  6. Step 6: Final answer
    x = 10,605.00

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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.