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Finding the Fourth Proportional to 7,685.46, 10,603.89 and 6,495.30

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Solution

The fourth proportional to 7,685.46, 10,603.89 and 6,495.30 is: 8,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.46 : 10,603.89 = 6,495.30 : x
  2. Step 2: Convert to fraction form
    7,685.46/10,603.89 = 6,495.30/x
  3. Step 3: Cross multiply
    7,685.46x = 10,603.89 × 6,495.30
  4. Step 4: Simplify right side
    7,685.46x = 68,875,446.72
  5. Step 5: Solve for x
    x = 68,875,446.72/7,685.46
  6. Step 6: Final answer
    x = 8,961.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.