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Finding the Fourth Proportional to 28,387.36, 42,576.16 and 7,606

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Solution

The fourth proportional to 28,387.36, 42,576.16 and 7,606 is: 11,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,387.36 : 42,576.16 = 7,606 : x
  2. Step 2: Convert to fraction form
    28,387.36/42,576.16 = 7,606/x
  3. Step 3: Cross multiply
    28,387.36x = 42,576.16 × 7,606
  4. Step 4: Simplify right side
    28,387.36x = 323,834,272.96
  5. Step 5: Solve for x
    x = 323,834,272.96/28,387.36
  6. Step 6: Final answer
    x = 11,407.69

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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.