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Finding the Fourth Proportional to 10,420.22, 14,364.93 and 7,430.85

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Solution

The fourth proportional to 10,420.22, 14,364.93 and 7,430.85 is: 10,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.22 : 14,364.93 = 7,430.85 : x
  2. Step 2: Convert to fraction form
    10,420.22/14,364.93 = 7,430.85/x
  3. Step 3: Cross multiply
    10,420.22x = 14,364.93 × 7,430.85
  4. Step 4: Simplify right side
    10,420.22x = 106,743,640.09
  5. Step 5: Solve for x
    x = 106,743,640.09/10,420.22
  6. Step 6: Final answer
    x = 10,243.90

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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.