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Finding the Fourth Proportional to 10,186.70, 14,058.02 and 5,710.54

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Solution

The fourth proportional to 10,186.70, 14,058.02 and 5,710.54 is: 7,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.70 : 14,058.02 = 5,710.54 : x
  2. Step 2: Convert to fraction form
    10,186.70/14,058.02 = 5,710.54/x
  3. Step 3: Cross multiply
    10,186.70x = 14,058.02 × 5,710.54
  4. Step 4: Simplify right side
    10,186.70x = 80,278,864.66
  5. Step 5: Solve for x
    x = 80,278,864.66/10,186.70
  6. Step 6: Final answer
    x = 7,880.76

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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.