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Finding the Fourth Proportional to 10,562.05, 14,575.73 and 5,846.32

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Solution

The fourth proportional to 10,562.05, 14,575.73 and 5,846.32 is: 8,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.05 : 14,575.73 = 5,846.32 : x
  2. Step 2: Convert to fraction form
    10,562.05/14,575.73 = 5,846.32/x
  3. Step 3: Cross multiply
    10,562.05x = 14,575.73 × 5,846.32
  4. Step 4: Simplify right side
    10,562.05x = 85,214,381.81
  5. Step 5: Solve for x
    x = 85,214,381.81/10,562.05
  6. Step 6: Final answer
    x = 8,067.98

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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.