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Finding the Fourth Proportional to 12,062.16, 16,646.31 and 7,584.21

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Solution

The fourth proportional to 12,062.16, 16,646.31 and 7,584.21 is: 10,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,062.16 : 16,646.31 = 7,584.21 : x
  2. Step 2: Convert to fraction form
    12,062.16/16,646.31 = 7,584.21/x
  3. Step 3: Cross multiply
    12,062.16x = 16,646.31 × 7,584.21
  4. Step 4: Simplify right side
    12,062.16x = 126,249,110.77
  5. Step 5: Solve for x
    x = 126,249,110.77/12,062.16
  6. Step 6: Final answer
    x = 10,466.54

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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.