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Finding the Fourth Proportional to 10,430.50, 14,394.09 and 6,239.74

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Solution

The fourth proportional to 10,430.50, 14,394.09 and 6,239.74 is: 8,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.50 : 14,394.09 = 6,239.74 : x
  2. Step 2: Convert to fraction form
    10,430.50/14,394.09 = 6,239.74/x
  3. Step 3: Cross multiply
    10,430.50x = 14,394.09 × 6,239.74
  4. Step 4: Simplify right side
    10,430.50x = 89,815,379.14
  5. Step 5: Solve for x
    x = 89,815,379.14/10,430.50
  6. Step 6: Final answer
    x = 8,610.84

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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.