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Finding the Fourth Proportional to 10,173.50, 14,039.93 and 5,697.26

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Solution

The fourth proportional to 10,173.50, 14,039.93 and 5,697.26 is: 7,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.50 : 14,039.93 = 5,697.26 : x
  2. Step 2: Convert to fraction form
    10,173.50/14,039.93 = 5,697.26/x
  3. Step 3: Cross multiply
    10,173.50x = 14,039.93 × 5,697.26
  4. Step 4: Simplify right side
    10,173.50x = 79,989,032.91
  5. Step 5: Solve for x
    x = 79,989,032.91/10,173.50
  6. Step 6: Final answer
    x = 7,862.49

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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.