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Finding the Fourth Proportional to 7,928.00, 11,873.72 and 5,692.96

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Solution

The fourth proportional to 7,928.00, 11,873.72 and 5,692.96 is: 8,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.00 : 11,873.72 = 5,692.96 : x
  2. Step 2: Convert to fraction form
    7,928.00/11,873.72 = 5,692.96/x
  3. Step 3: Cross multiply
    7,928.00x = 11,873.72 × 5,692.96
  4. Step 4: Simplify right side
    7,928.00x = 67,596,642.09
  5. Step 5: Solve for x
    x = 67,596,642.09/7,928.00
  6. Step 6: Final answer
    x = 8,526.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.