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Finding the Fourth Proportional to 10,143.12, 13,971.49 and 7,153.72

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Solution

The fourth proportional to 10,143.12, 13,971.49 and 7,153.72 is: 9,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.12 : 13,971.49 = 7,153.72 : x
  2. Step 2: Convert to fraction form
    10,143.12/13,971.49 = 7,153.72/x
  3. Step 3: Cross multiply
    10,143.12x = 13,971.49 × 7,153.72
  4. Step 4: Simplify right side
    10,143.12x = 99,948,074.63
  5. Step 5: Solve for x
    x = 99,948,074.63/10,143.12
  6. Step 6: Final answer
    x = 9,853.78

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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.