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Finding the Fourth Proportional to 10,696.46, 14,758.61 and 6,446.39

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Solution

The fourth proportional to 10,696.46, 14,758.61 and 6,446.39 is: 8,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.46 : 14,758.61 = 6,446.39 : x
  2. Step 2: Convert to fraction form
    10,696.46/14,758.61 = 6,446.39/x
  3. Step 3: Cross multiply
    10,696.46x = 14,758.61 × 6,446.39
  4. Step 4: Simplify right side
    10,696.46x = 95,139,649.89
  5. Step 5: Solve for x
    x = 95,139,649.89/10,696.46
  6. Step 6: Final answer
    x = 8,894.50

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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.