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Finding the Fourth Proportional to 10,613.84, 14,647.20 and 5,898.56

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Solution

The fourth proportional to 10,613.84, 14,647.20 and 5,898.56 is: 8,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.84 : 14,647.20 = 5,898.56 : x
  2. Step 2: Convert to fraction form
    10,613.84/14,647.20 = 5,898.56/x
  3. Step 3: Cross multiply
    10,613.84x = 14,647.20 × 5,898.56
  4. Step 4: Simplify right side
    10,613.84x = 86,397,388.03
  5. Step 5: Solve for x
    x = 86,397,388.03/10,613.84
  6. Step 6: Final answer
    x = 8,140.07

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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.