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Finding the Fourth Proportional to 10,458.40, 14,433.08 and 5,743.12

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Solution

The fourth proportional to 10,458.40, 14,433.08 and 5,743.12 is: 7,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.40 : 14,433.08 = 5,743.12 : x
  2. Step 2: Convert to fraction form
    10,458.40/14,433.08 = 5,743.12/x
  3. Step 3: Cross multiply
    10,458.40x = 14,433.08 × 5,743.12
  4. Step 4: Simplify right side
    10,458.40x = 82,890,910.41
  5. Step 5: Solve for x
    x = 82,890,910.41/10,458.40
  6. Step 6: Final answer
    x = 7,925.77

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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.