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Finding the Fourth Proportional to 7,752.24, 11,628 and 3,853.44

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Solution

The fourth proportional to 7,752.24, 11,628 and 3,853.44 is: 5,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.24 : 11,628 = 3,853.44 : x
  2. Step 2: Convert to fraction form
    7,752.24/11,628 = 3,853.44/x
  3. Step 3: Cross multiply
    7,752.24x = 11,628 × 3,853.44
  4. Step 4: Simplify right side
    7,752.24x = 44,807,800.32
  5. Step 5: Solve for x
    x = 44,807,800.32/7,752.24
  6. Step 6: Final answer
    x = 5,779.98

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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.