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Finding the Fourth Proportional to 10,521.86, 14,520.14 and 5,741.78

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Solution

The fourth proportional to 10,521.86, 14,520.14 and 5,741.78 is: 7,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.86 : 14,520.14 = 5,741.78 : x
  2. Step 2: Convert to fraction form
    10,521.86/14,520.14 = 5,741.78/x
  3. Step 3: Cross multiply
    10,521.86x = 14,520.14 × 5,741.78
  4. Step 4: Simplify right side
    10,521.86x = 83,371,449.45
  5. Step 5: Solve for x
    x = 83,371,449.45/10,521.86
  6. Step 6: Final answer
    x = 7,923.64

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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.