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Finding the Fourth Proportional to 10,173.65, 14,039.87 and 5,697.18

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Solution

The fourth proportional to 10,173.65, 14,039.87 and 5,697.18 is: 7,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.65 : 14,039.87 = 5,697.18 : x
  2. Step 2: Convert to fraction form
    10,173.65/14,039.87 = 5,697.18/x
  3. Step 3: Cross multiply
    10,173.65x = 14,039.87 × 5,697.18
  4. Step 4: Simplify right side
    10,173.65x = 79,987,638.08
  5. Step 5: Solve for x
    x = 79,987,638.08/10,173.65
  6. Step 6: Final answer
    x = 7,862.24

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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.