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Finding the Fourth Proportional to 7,463.52, 11,189.58 and 6,435.62

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Solution

The fourth proportional to 7,463.52, 11,189.58 and 6,435.62 is: 9,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.52 : 11,189.58 = 6,435.62 : x
  2. Step 2: Convert to fraction form
    7,463.52/11,189.58 = 6,435.62/x
  3. Step 3: Cross multiply
    7,463.52x = 11,189.58 × 6,435.62
  4. Step 4: Simplify right side
    7,463.52x = 72,011,884.84
  5. Step 5: Solve for x
    x = 72,011,884.84/7,463.52
  6. Step 6: Final answer
    x = 9,648.52

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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.