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Finding the Fourth Proportional to 7,703.12, 11,554.68 and 3,808.64

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Solution

The fourth proportional to 7,703.12, 11,554.68 and 3,808.64 is: 5,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.12 : 11,554.68 = 3,808.64 : x
  2. Step 2: Convert to fraction form
    7,703.12/11,554.68 = 3,808.64/x
  3. Step 3: Cross multiply
    7,703.12x = 11,554.68 × 3,808.64
  4. Step 4: Simplify right side
    7,703.12x = 44,007,616.44
  5. Step 5: Solve for x
    x = 44,007,616.44/7,703.12
  6. Step 6: Final answer
    x = 5,712.96

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