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Finding the Fourth Proportional to 28,458.09, 42,682.10 and 7,683.21

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Solution

The fourth proportional to 28,458.09, 42,682.10 and 7,683.21 is: 11,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,458.09 : 42,682.10 = 7,683.21 : x
  2. Step 2: Convert to fraction form
    28,458.09/42,682.10 = 7,683.21/x
  3. Step 3: Cross multiply
    28,458.09x = 42,682.10 × 7,683.21
  4. Step 4: Simplify right side
    28,458.09x = 327,935,499.12
  5. Step 5: Solve for x
    x = 327,935,499.12/28,458.09
  6. Step 6: Final answer
    x = 11,523.45

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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.