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Finding the Fourth Proportional to 10,455.96, 14,429.19 and 5,740.23

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Solution

The fourth proportional to 10,455.96, 14,429.19 and 5,740.23 is: 7,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.96 : 14,429.19 = 5,740.23 : x
  2. Step 2: Convert to fraction form
    10,455.96/14,429.19 = 5,740.23/x
  3. Step 3: Cross multiply
    10,455.96x = 14,429.19 × 5,740.23
  4. Step 4: Simplify right side
    10,455.96x = 82,826,869.31
  5. Step 5: Solve for x
    x = 82,826,869.31/10,455.96
  6. Step 6: Final answer
    x = 7,921.50

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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.