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Finding the Fourth Proportional to 10,406.88, 14,368.32 and 6,433.83

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Solution

The fourth proportional to 10,406.88, 14,368.32 and 6,433.83 is: 8,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.88 : 14,368.32 = 6,433.83 : x
  2. Step 2: Convert to fraction form
    10,406.88/14,368.32 = 6,433.83/x
  3. Step 3: Cross multiply
    10,406.88x = 14,368.32 × 6,433.83
  4. Step 4: Simplify right side
    10,406.88x = 92,443,328.27
  5. Step 5: Solve for x
    x = 92,443,328.27/10,406.88
  6. Step 6: Final answer
    x = 8,882.91

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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.