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Finding the Fourth Proportional to 11,613.16, 16,024.08 and 6,898.60

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Solution

The fourth proportional to 11,613.16, 16,024.08 and 6,898.60 is: 9,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.16 : 16,024.08 = 6,898.60 : x
  2. Step 2: Convert to fraction form
    11,613.16/16,024.08 = 6,898.60/x
  3. Step 3: Cross multiply
    11,613.16x = 16,024.08 × 6,898.60
  4. Step 4: Simplify right side
    11,613.16x = 110,543,718.29
  5. Step 5: Solve for x
    x = 110,543,718.29/11,613.16
  6. Step 6: Final answer
    x = 9,518.83

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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.