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Finding the Fourth Proportional to 10,164.51, 15,241.23 and 4,317.93

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Solution

The fourth proportional to 10,164.51, 15,241.23 and 4,317.93 is: 6,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.51 : 15,241.23 = 4,317.93 : x
  2. Step 2: Convert to fraction form
    10,164.51/15,241.23 = 4,317.93/x
  3. Step 3: Cross multiply
    10,164.51x = 15,241.23 × 4,317.93
  4. Step 4: Simplify right side
    10,164.51x = 65,810,564.25
  5. Step 5: Solve for x
    x = 65,810,564.25/10,164.51
  6. Step 6: Final answer
    x = 6,474.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.