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Finding the Fourth Proportional to 10,760.91, 14,850.06 and 6,045.19

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Solution

The fourth proportional to 10,760.91, 14,850.06 and 6,045.19 is: 8,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.91 : 14,850.06 = 6,045.19 : x
  2. Step 2: Convert to fraction form
    10,760.91/14,850.06 = 6,045.19/x
  3. Step 3: Cross multiply
    10,760.91x = 14,850.06 × 6,045.19
  4. Step 4: Simplify right side
    10,760.91x = 89,771,434.21
  5. Step 5: Solve for x
    x = 89,771,434.21/10,760.91
  6. Step 6: Final answer
    x = 8,342.36

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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.