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Finding the Fourth Proportional to 10,186.54, 14,058.09 and 5,710.58

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Solution

The fourth proportional to 10,186.54, 14,058.09 and 5,710.58 is: 7,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.54 : 14,058.09 = 5,710.58 : x
  2. Step 2: Convert to fraction form
    10,186.54/14,058.09 = 5,710.58/x
  3. Step 3: Cross multiply
    10,186.54x = 14,058.09 × 5,710.58
  4. Step 4: Simplify right side
    10,186.54x = 80,279,847.59
  5. Step 5: Solve for x
    x = 80,279,847.59/10,186.54
  6. Step 6: Final answer
    x = 7,880.98

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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.