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Finding the Fourth Proportional to 10,613.64, 14,647.02 and 5,898.36

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Solution

The fourth proportional to 10,613.64, 14,647.02 and 5,898.36 is: 8,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.64 : 14,647.02 = 5,898.36 : x
  2. Step 2: Convert to fraction form
    10,613.64/14,647.02 = 5,898.36/x
  3. Step 3: Cross multiply
    10,613.64x = 14,647.02 × 5,898.36
  4. Step 4: Simplify right side
    10,613.64x = 86,393,396.89
  5. Step 5: Solve for x
    x = 86,393,396.89/10,613.64
  6. Step 6: Final answer
    x = 8,139.85

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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.