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Finding the Fourth Proportional to 10,191.74, 14,058.13 and 7,363.27

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Solution

The fourth proportional to 10,191.74, 14,058.13 and 7,363.27 is: 10,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.74 : 14,058.13 = 7,363.27 : x
  2. Step 2: Convert to fraction form
    10,191.74/14,058.13 = 7,363.27/x
  3. Step 3: Cross multiply
    10,191.74x = 14,058.13 × 7,363.27
  4. Step 4: Simplify right side
    10,191.74x = 103,513,806.89
  5. Step 5: Solve for x
    x = 103,513,806.89/10,191.74
  6. Step 6: Final answer
    x = 10,156.64

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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.