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Finding the Fourth Proportional to 10,455.86, 14,429.10 and 5,740.16

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Solution

The fourth proportional to 10,455.86, 14,429.10 and 5,740.16 is: 7,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.86 : 14,429.10 = 5,740.16 : x
  2. Step 2: Convert to fraction form
    10,455.86/14,429.10 = 5,740.16/x
  3. Step 3: Cross multiply
    10,455.86x = 14,429.10 × 5,740.16
  4. Step 4: Simplify right side
    10,455.86x = 82,825,342.66
  5. Step 5: Solve for x
    x = 82,825,342.66/10,455.86
  6. Step 6: Final answer
    x = 7,921.43

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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.