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Finding the Fourth Proportional to 10,456.44, 14,430.12 and 5,740.74

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Solution

The fourth proportional to 10,456.44, 14,430.12 and 5,740.74 is: 7,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.44 : 14,430.12 = 5,740.74 : x
  2. Step 2: Convert to fraction form
    10,456.44/14,430.12 = 5,740.74/x
  3. Step 3: Cross multiply
    10,456.44x = 14,430.12 × 5,740.74
  4. Step 4: Simplify right side
    10,456.44x = 82,839,567.09
  5. Step 5: Solve for x
    x = 82,839,567.09/10,456.44
  6. Step 6: Final answer
    x = 7,922.35

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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.