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Finding the Fourth Proportional to 7,688.88, 11,530.80 and 3,301.92

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Solution

The fourth proportional to 7,688.88, 11,530.80 and 3,301.92 is: 4,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.88 : 11,530.80 = 3,301.92 : x
  2. Step 2: Convert to fraction form
    7,688.88/11,530.80 = 3,301.92/x
  3. Step 3: Cross multiply
    7,688.88x = 11,530.80 × 3,301.92
  4. Step 4: Simplify right side
    7,688.88x = 38,073,779.14
  5. Step 5: Solve for x
    x = 38,073,779.14/7,688.88
  6. Step 6: Final answer
    x = 4,951.80

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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.