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Finding the Fourth Proportional to 7,575.76, 10,450.48 and 5,152.24

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Solution

The fourth proportional to 7,575.76, 10,450.48 and 5,152.24 is: 7,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.76 : 10,450.48 = 5,152.24 : x
  2. Step 2: Convert to fraction form
    7,575.76/10,450.48 = 5,152.24/x
  3. Step 3: Cross multiply
    7,575.76x = 10,450.48 × 5,152.24
  4. Step 4: Simplify right side
    7,575.76x = 53,843,381.08
  5. Step 5: Solve for x
    x = 53,843,381.08/7,575.76
  6. Step 6: Final answer
    x = 7,107.32

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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.