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Finding the Fourth Proportional to 10,762.72, 14,851.86 and 6,046.84

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Solution

The fourth proportional to 10,762.72, 14,851.86 and 6,046.84 is: 8,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.72 : 14,851.86 = 6,046.84 : x
  2. Step 2: Convert to fraction form
    10,762.72/14,851.86 = 6,046.84/x
  3. Step 3: Cross multiply
    10,762.72x = 14,851.86 × 6,046.84
  4. Step 4: Simplify right side
    10,762.72x = 89,806,821.12
  5. Step 5: Solve for x
    x = 89,806,821.12/10,762.72
  6. Step 6: Final answer
    x = 8,344.25

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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.