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Finding the Fourth Proportional to 10,176.54, 14,042.82 and 5,699.25

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Solution

The fourth proportional to 10,176.54, 14,042.82 and 5,699.25 is: 7,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.54 : 14,042.82 = 5,699.25 : x
  2. Step 2: Convert to fraction form
    10,176.54/14,042.82 = 5,699.25/x
  3. Step 3: Cross multiply
    10,176.54x = 14,042.82 × 5,699.25
  4. Step 4: Simplify right side
    10,176.54x = 80,033,541.89
  5. Step 5: Solve for x
    x = 80,033,541.89/10,176.54
  6. Step 6: Final answer
    x = 7,864.51

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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.