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Finding the Fourth Proportional to 10,751.84, 14,833.96 and 6,504.20

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Solution

The fourth proportional to 10,751.84, 14,833.96 and 6,504.20 is: 8,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.84 : 14,833.96 = 6,504.20 : x
  2. Step 2: Convert to fraction form
    10,751.84/14,833.96 = 6,504.20/x
  3. Step 3: Cross multiply
    10,751.84x = 14,833.96 × 6,504.20
  4. Step 4: Simplify right side
    10,751.84x = 96,483,042.63
  5. Step 5: Solve for x
    x = 96,483,042.63/10,751.84
  6. Step 6: Final answer
    x = 8,973.63

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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.