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Finding the Fourth Proportional to 10,686.44, 16,032.90 and 7,572.48

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Solution

The fourth proportional to 10,686.44, 16,032.90 and 7,572.48 is: 11,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.44 : 16,032.90 = 7,572.48 : x
  2. Step 2: Convert to fraction form
    10,686.44/16,032.90 = 7,572.48/x
  3. Step 3: Cross multiply
    10,686.44x = 16,032.90 × 7,572.48
  4. Step 4: Simplify right side
    10,686.44x = 121,408,814.59
  5. Step 5: Solve for x
    x = 121,408,814.59/10,686.44
  6. Step 6: Final answer
    x = 11,361.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.