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Finding the Fourth Proportional to 10,524.51, 14,524.64 and 6,049.82

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Solution

The fourth proportional to 10,524.51, 14,524.64 and 6,049.82 is: 8,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.51 : 14,524.64 = 6,049.82 : x
  2. Step 2: Convert to fraction form
    10,524.51/14,524.64 = 6,049.82/x
  3. Step 3: Cross multiply
    10,524.51x = 14,524.64 × 6,049.82
  4. Step 4: Simplify right side
    10,524.51x = 87,871,354.69
  5. Step 5: Solve for x
    x = 87,871,354.69/10,524.51
  6. Step 6: Final answer
    x = 8,349.21

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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.