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Finding the Fourth Proportional to 7,652.32, 10,560.24 and 4,467.84

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Solution

The fourth proportional to 7,652.32, 10,560.24 and 4,467.84 is: 6,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.32 : 10,560.24 = 4,467.84 : x
  2. Step 2: Convert to fraction form
    7,652.32/10,560.24 = 4,467.84/x
  3. Step 3: Cross multiply
    7,652.32x = 10,560.24 × 4,467.84
  4. Step 4: Simplify right side
    7,652.32x = 47,181,462.68
  5. Step 5: Solve for x
    x = 47,181,462.68/7,652.32
  6. Step 6: Final answer
    x = 6,165.64

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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.