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Finding the Fourth Proportional to 7,752.40, 11,628.20 and 4,548.48

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Solution

The fourth proportional to 7,752.40, 11,628.20 and 4,548.48 is: 6,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.40 : 11,628.20 = 4,548.48 : x
  2. Step 2: Convert to fraction form
    7,752.40/11,628.20 = 4,548.48/x
  3. Step 3: Cross multiply
    7,752.40x = 11,628.20 × 4,548.48
  4. Step 4: Simplify right side
    7,752.40x = 52,890,635.14
  5. Step 5: Solve for x
    x = 52,890,635.14/7,752.40
  6. Step 6: Final answer
    x = 6,822.49

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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.