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Finding the Fourth Proportional to 10,842.42, 16,264.26 and 3,050.64

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Solution

The fourth proportional to 10,842.42, 16,264.26 and 3,050.64 is: 4,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.42 : 16,264.26 = 3,050.64 : x
  2. Step 2: Convert to fraction form
    10,842.42/16,264.26 = 3,050.64/x
  3. Step 3: Cross multiply
    10,842.42x = 16,264.26 × 3,050.64
  4. Step 4: Simplify right side
    10,842.42x = 49,616,402.13
  5. Step 5: Solve for x
    x = 49,616,402.13/10,842.42
  6. Step 6: Final answer
    x = 4,576.14

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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.