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Finding the Fourth Proportional to 7,690.85, 11,528.88 and 4,909.67

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Solution

The fourth proportional to 7,690.85, 11,528.88 and 4,909.67 is: 7,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.85 : 11,528.88 = 4,909.67 : x
  2. Step 2: Convert to fraction form
    7,690.85/11,528.88 = 4,909.67/x
  3. Step 3: Cross multiply
    7,690.85x = 11,528.88 × 4,909.67
  4. Step 4: Simplify right side
    7,690.85x = 56,602,996.27
  5. Step 5: Solve for x
    x = 56,602,996.27/7,690.85
  6. Step 6: Final answer
    x = 7,359.78

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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.