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Finding the Fourth Proportional to 11,613.61, 16,018.63 and 7,139.83

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Solution

The fourth proportional to 11,613.61, 16,018.63 and 7,139.83 is: 9,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.61 : 16,018.63 = 7,139.83 : x
  2. Step 2: Convert to fraction form
    11,613.61/16,018.63 = 7,139.83/x
  3. Step 3: Cross multiply
    11,613.61x = 16,018.63 × 7,139.83
  4. Step 4: Simplify right side
    11,613.61x = 114,370,267.17
  5. Step 5: Solve for x
    x = 114,370,267.17/11,613.61
  6. Step 6: Final answer
    x = 9,847.95

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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.