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Finding the Fourth Proportional to 10,525.64, 14,524.89 and 6,046.24

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Solution

The fourth proportional to 10,525.64, 14,524.89 and 6,046.24 is: 8,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.64 : 14,524.89 = 6,046.24 : x
  2. Step 2: Convert to fraction form
    10,525.64/14,524.89 = 6,046.24/x
  3. Step 3: Cross multiply
    10,525.64x = 14,524.89 × 6,046.24
  4. Step 4: Simplify right side
    10,525.64x = 87,820,970.91
  5. Step 5: Solve for x
    x = 87,820,970.91/10,525.64
  6. Step 6: Final answer
    x = 8,343.53

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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.