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Finding the Fourth Proportional to 10,296.60, 14,211.64 and 5,822.94

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Solution

The fourth proportional to 10,296.60, 14,211.64 and 5,822.94 is: 8,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.60 : 14,211.64 = 5,822.94 : x
  2. Step 2: Convert to fraction form
    10,296.60/14,211.64 = 5,822.94/x
  3. Step 3: Cross multiply
    10,296.60x = 14,211.64 × 5,822.94
  4. Step 4: Simplify right side
    10,296.60x = 82,753,527.02
  5. Step 5: Solve for x
    x = 82,753,527.02/10,296.60
  6. Step 6: Final answer
    x = 8,036.98

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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.