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Finding the Fourth Proportional to 10,447.46, 14,417.64 and 5,731.44

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Solution

The fourth proportional to 10,447.46, 14,417.64 and 5,731.44 is: 7,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.46 : 14,417.64 = 5,731.44 : x
  2. Step 2: Convert to fraction form
    10,447.46/14,417.64 = 5,731.44/x
  3. Step 3: Cross multiply
    10,447.46x = 14,417.64 × 5,731.44
  4. Step 4: Simplify right side
    10,447.46x = 82,633,838.60
  5. Step 5: Solve for x
    x = 82,633,838.60/10,447.46
  6. Step 6: Final answer
    x = 7,909.47

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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.