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Finding the Fourth Proportional to 10,762.86, 14,851.17 and 6,046.23

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Solution

The fourth proportional to 10,762.86, 14,851.17 and 6,046.23 is: 8,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.86 : 14,851.17 = 6,046.23 : x
  2. Step 2: Convert to fraction form
    10,762.86/14,851.17 = 6,046.23/x
  3. Step 3: Cross multiply
    10,762.86x = 14,851.17 × 6,046.23
  4. Step 4: Simplify right side
    10,762.86x = 89,793,589.59
  5. Step 5: Solve for x
    x = 89,793,589.59/10,762.86
  6. Step 6: Final answer
    x = 8,342.91

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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.