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Finding the Fourth Proportional to 10,416.89, 14,375.33 and 5,701.48

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Solution

The fourth proportional to 10,416.89, 14,375.33 and 5,701.48 is: 7,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.89 : 14,375.33 = 5,701.48 : x
  2. Step 2: Convert to fraction form
    10,416.89/14,375.33 = 5,701.48/x
  3. Step 3: Cross multiply
    10,416.89x = 14,375.33 × 5,701.48
  4. Step 4: Simplify right side
    10,416.89x = 81,960,656.49
  5. Step 5: Solve for x
    x = 81,960,656.49/10,416.89
  6. Step 6: Final answer
    x = 7,868.05

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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.