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Finding the Fourth Proportional to 7,752.64, 11,628.96 and 5,454.40

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Solution

The fourth proportional to 7,752.64, 11,628.96 and 5,454.40 is: 8,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.64 : 11,628.96 = 5,454.40 : x
  2. Step 2: Convert to fraction form
    7,752.64/11,628.96 = 5,454.40/x
  3. Step 3: Cross multiply
    7,752.64x = 11,628.96 × 5,454.40
  4. Step 4: Simplify right side
    7,752.64x = 63,428,999.42
  5. Step 5: Solve for x
    x = 63,428,999.42/7,752.64
  6. Step 6: Final answer
    x = 8,181.60

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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.