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Finding the Fourth Proportional to 7,689.84, 10,546.68 and 7,372.32

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Solution

The fourth proportional to 7,689.84, 10,546.68 and 7,372.32 is: 10,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.84 : 10,546.68 = 7,372.32 : x
  2. Step 2: Convert to fraction form
    7,689.84/10,546.68 = 7,372.32/x
  3. Step 3: Cross multiply
    7,689.84x = 10,546.68 × 7,372.32
  4. Step 4: Simplify right side
    7,689.84x = 77,753,499.90
  5. Step 5: Solve for x
    x = 77,753,499.90/7,689.84
  6. Step 6: Final answer
    x = 10,111.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.