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Finding the Fourth Proportional to 10,485.86, 14,470.53 and 5,770.58

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Solution

The fourth proportional to 10,485.86, 14,470.53 and 5,770.58 is: 7,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.86 : 14,470.53 = 5,770.58 : x
  2. Step 2: Convert to fraction form
    10,485.86/14,470.53 = 5,770.58/x
  3. Step 3: Cross multiply
    10,485.86x = 14,470.53 × 5,770.58
  4. Step 4: Simplify right side
    10,485.86x = 83,503,351.01
  5. Step 5: Solve for x
    x = 83,503,351.01/10,485.86
  6. Step 6: Final answer
    x = 7,963.42

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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.