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Finding the Fourth Proportional to 11,613.82, 16,018.86 and 7,140.08

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Solution

The fourth proportional to 11,613.82, 16,018.86 and 7,140.08 is: 9,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.82 : 16,018.86 = 7,140.08 : x
  2. Step 2: Convert to fraction form
    11,613.82/16,018.86 = 7,140.08/x
  3. Step 3: Cross multiply
    11,613.82x = 16,018.86 × 7,140.08
  4. Step 4: Simplify right side
    11,613.82x = 114,375,941.91
  5. Step 5: Solve for x
    x = 114,375,941.91/11,613.82
  6. Step 6: Final answer
    x = 9,848.27

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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.