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Finding the Fourth Proportional to 10,187.44, 14,058.71 and 5,941.45

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Solution

The fourth proportional to 10,187.44, 14,058.71 and 5,941.45 is: 8,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.44 : 14,058.71 = 5,941.45 : x
  2. Step 2: Convert to fraction form
    10,187.44/14,058.71 = 5,941.45/x
  3. Step 3: Cross multiply
    10,187.44x = 14,058.71 × 5,941.45
  4. Step 4: Simplify right side
    10,187.44x = 83,529,166.10
  5. Step 5: Solve for x
    x = 83,529,166.10/10,187.44
  6. Step 6: Final answer
    x = 8,199.23

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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.