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Finding the Fourth Proportional to 11,747.39, 16,206.95 and 7,498.61

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Solution

The fourth proportional to 11,747.39, 16,206.95 and 7,498.61 is: 10,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.39 : 16,206.95 = 7,498.61 : x
  2. Step 2: Convert to fraction form
    11,747.39/16,206.95 = 7,498.61/x
  3. Step 3: Cross multiply
    11,747.39x = 16,206.95 × 7,498.61
  4. Step 4: Simplify right side
    11,747.39x = 121,529,597.34
  5. Step 5: Solve for x
    x = 121,529,597.34/11,747.39
  6. Step 6: Final answer
    x = 10,345.24

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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.