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Finding the Fourth Proportional to 7,564.80, 11,315.20 and 6,790.40

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Solution

The fourth proportional to 7,564.80, 11,315.20 and 6,790.40 is: 10,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.80 : 11,315.20 = 6,790.40 : x
  2. Step 2: Convert to fraction form
    7,564.80/11,315.20 = 6,790.40/x
  3. Step 3: Cross multiply
    7,564.80x = 11,315.20 × 6,790.40
  4. Step 4: Simplify right side
    7,564.80x = 76,834,734.08
  5. Step 5: Solve for x
    x = 76,834,734.08/7,564.80
  6. Step 6: Final answer
    x = 10,156.88

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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.