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Finding the Fourth Proportional to 10,419.75, 14,379.39 and 5,703.93

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Solution

The fourth proportional to 10,419.75, 14,379.39 and 5,703.93 is: 7,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.75 : 14,379.39 = 5,703.93 : x
  2. Step 2: Convert to fraction form
    10,419.75/14,379.39 = 5,703.93/x
  3. Step 3: Cross multiply
    10,419.75x = 14,379.39 × 5,703.93
  4. Step 4: Simplify right side
    10,419.75x = 82,019,034.00
  5. Step 5: Solve for x
    x = 82,019,034.00/10,419.75
  6. Step 6: Final answer
    x = 7,871.50

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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.