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Finding the Fourth Proportional to 10,131.89, 13,981.89 and 5,656.75

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Solution

The fourth proportional to 10,131.89, 13,981.89 and 5,656.75 is: 7,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.89 : 13,981.89 = 5,656.75 : x
  2. Step 2: Convert to fraction form
    10,131.89/13,981.89 = 5,656.75/x
  3. Step 3: Cross multiply
    10,131.89x = 13,981.89 × 5,656.75
  4. Step 4: Simplify right side
    10,131.89x = 79,092,056.26
  5. Step 5: Solve for x
    x = 79,092,056.26/10,131.89
  6. Step 6: Final answer
    x = 7,806.25

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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.