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Finding the Fourth Proportional to 7,589.12, 11,354.88 and 6,821.76

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Solution

The fourth proportional to 7,589.12, 11,354.88 and 6,821.76 is: 10,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.12 : 11,354.88 = 6,821.76 : x
  2. Step 2: Convert to fraction form
    7,589.12/11,354.88 = 6,821.76/x
  3. Step 3: Cross multiply
    7,589.12x = 11,354.88 × 6,821.76
  4. Step 4: Simplify right side
    7,589.12x = 77,460,266.19
  5. Step 5: Solve for x
    x = 77,460,266.19/7,589.12
  6. Step 6: Final answer
    x = 10,206.75

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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.